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The Exp-function Method for Some Time-fractional Differential Equations 认领 引用 被引量：1
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作者 Ahmet Bekir Ozkan Guner Adem Cevikel 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2017年第2期315-321,共7页
In this article, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the Exp-function method are employed for constructing the exact solutions of nonlinear time fractional partial diff... In this article, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the Exp-function method are employed for constructing the exact solutions of nonlinear time fractional partial differential equations in mathematical physics. As a result, some new exact solutions for them are successfully established. It is indicated that the solutions obtained by the Exp-function method are reliable, straightforward and effective method for strongly nonlinear fractional partial equations with modified Riemann-Liouville derivative by Jumarie's. This approach can also be applied to other nonlinear time and space fractional differential equations. 展开更多
关键词 Exact solution exp-function method fractional differential equation
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Construction of solitonary and periodic solutions to some nonlinear equations using EXP-function method 认领 引用
2
作者 ZHANG Mei ZHANG Wen-jing 《Journal of Zhejiang University-SCIENCE A》 SCIE EI CAS 2007年第4期660-664,共5页
This paper applies the EXP-function method to find exact solutions of various nonlinear equations. Tzitzeica- Dodd-Bullough (TDB) equation was selected to illustrate the effectiveness and convenience of the suggested ... This paper applies the EXP-function method to find exact solutions of various nonlinear equations. Tzitzeica- Dodd-Bullough (TDB) equation was selected to illustrate the effectiveness and convenience of the suggested method. More generalized solitonary solutions with free parameters were obtained by suitable choice of the free parameters, and also the obtained solitonary solutions can be converted into periodic solutions. 展开更多
关键词 Soliton Periodic solution Nonlinear equation EXP-function method
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Application of Exp-function Method to KdV-Burgers-Kuramoto Equation and Kuramoto-Sivashinsky Equation 认领 引用
3
作者 陈博奎 刘伊可 汪秉宏 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第4期562-571,共10页
This paper focuses on the application of Exp-function method to obtain generalized solutions of the KdV-Burgers-Kuramoto equation and the Kuramoto-Sivashinsky equation.It is demonstrated that the Exp-function method p... This paper focuses on the application of Exp-function method to obtain generalized solutions of the KdV-Burgers-Kuramoto equation and the Kuramoto-Sivashinsky equation.It is demonstrated that the Exp-function method provides a mathematical tool for solving the nonlinear evolution equation in mathematical physics. 展开更多
关键词 Exp-function method nonlinear evolution equation KdV-Burgers-Kuramoto equation Kuramoto-Sivashinsky equation
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Exp-Function Method and Fractional Complex Transform for Space-Time Fractional KP-BBM Equation 认领 引用 被引量：10
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作者 Ozkan Guner 《Communications in Theoretical Physics》 SCIE CAS CSCD 2017年第8期149-154,共6页
In the present article, He＇s fractional derivative, the ansatz method, the （ C / G）-expansion method, and the exp-function method are used to construct the exact solutions of nonlinear space-time fractional Kadomts... In the present article, He＇s fractional derivative, the ansatz method, the （ C / G）-expansion method, and the exp-function method are used to construct the exact solutions of nonlinear space-time fractional Kadomtsev-Petviashvili- Benjamin-Bona Mahony （KP-BBM）. As a result, different types of exact solutions are obtained. Also we have examined the relation between the solutions obtained from the different methods. These methods are an efficient mathematical tool for solving fractional differential equations （FDEs） and it can be applied to other nonlinear FDEs. 展开更多
关键词 ansatz method exp-function method He＇s fractional derivative （G＇/G）-expansion method spacetime fractional KP-BBM equation
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Some Remarks on Exp-Function Method and Its Applications 认领 引用 被引量：3
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作者 Ismail Aslan Vangelis Marinakis 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第9期397-403,共7页
Recently,many important nonlinear partial differential equations arising in the applied physical and mathematical sciences have been tackled by a popular approach,the so-called Exp-function method.In this paper,we pre... Recently,many important nonlinear partial differential equations arising in the applied physical and mathematical sciences have been tackled by a popular approach,the so-called Exp-function method.In this paper,we present some shortcomings of this method by analyzing the results of recently published papers.We also discuss the possible improvement of the effectiveness of the method. 展开更多
关键词 Exp-function method partial differential equations
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Multiple exp-function method for soliton solutions of nonlinear evolution equations 认领 引用 被引量：1
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作者 Yakup Yιldιrιm Emrullah Yasar 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第7期20-26,共7页
We applied the multiple exp-function scheme to the（2＋1）-dimensional Sawada-Kotera（SK） equation and（3＋1）-dimensional nonlinear evolution equation and analytic particular solutions have been deduced. The analyti... We applied the multiple exp-function scheme to the（2＋1）-dimensional Sawada-Kotera（SK） equation and（3＋1）-dimensional nonlinear evolution equation and analytic particular solutions have been deduced. The analytic particular solutions contain one-soliton, two-soliton, and three-soliton type solutions. With the assistance of Maple, we demonstrated the efficiency and advantages of the procedure that generalizes Hirota＇s perturbation scheme. The obtained solutions can be used as a benchmark for numerical solutions and describe the physical phenomena behind the model. 展开更多
关键词 （2＋1）-dimensional Sawada-Kotera（SK） equation （3＋1）-dimensional nonlinear evolution equation（NLEE） multiple exp-function method multiple wave solutions
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Some Remarks on Exp-Function Method and Its Applications-A Supplement 认领 引用 被引量：1
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作者 Ismail Aslan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第11期521-525,共5页
Recently,the authors of[Commun.Theor.Phys.56(2011)397]made a number of useful observations on Exp-function method.In this study,we focus on another vital issue,namely,the misleading results of double Exp-function method.
关键词 Exp-function method Cahn-Allen equation truncated(Painleve)expansion method
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Application of Exp-Function Method to Discrete Nonlinear Schrodinger Lattice Equation with Symbolic Computation 认领 引用 被引量：2
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作者 JI Jie 《Communications in Theoretical Physics》 SCIE CAS 2008年第12期1279-1282,共4页
In this paper,we present an extended Exp-function method to differential-difference equation(s).With the help of symbolic computation,we solve discrete nonlinear Schrodinger lattice as an example,and obtain a series o... In this paper,we present an extended Exp-function method to differential-difference equation(s).With the help of symbolic computation,we solve discrete nonlinear Schrodinger lattice as an example,and obtain a series of general solutions in forms of Exp-function. 展开更多
关键词 Exp-function solutions discrete nonlinear SchrSdinger lattice equation
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The Exp-Function Method for Solving Two Dimensional Sine-Bratu Type Equations 认领 引用
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作者 Eslam Moradi Hamidreza Varasteh +1 位作者 Abolfazl Abdollahzadeh Mojtaba Mostafaei-Malekshah 《Applied Mathematics》 2014年第8期1212-1217,共6页
In this paper, we apply Exp-function method to give traveling wave solutions of second order sine-Bratu type equations. This method is straightforward, concise and effective.
关键词 Exp-Function Method Sine-Bratu Type Equation
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The Modified Simple Equation Method and the Multiple Exp-function Method for Solving Nonlinear Fractional Sharma-Tasso-Olver Equation 认领 引用 被引量：7
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作者 Elsayed M.E.ZAYED Yaser A.AMER Abdul-Ghani AL-NOWEHY 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第4期793-812,共20页
In this article, the fractional derivatives in the sense of the modified Riemann-Liouville derivatives together with the modified simple equation method and the multiple exp-function method are employed for constructi... In this article, the fractional derivatives in the sense of the modified Riemann-Liouville derivatives together with the modified simple equation method and the multiple exp-function method are employed for constructing the exact solutions and the solitary wave solutions for the nonlinear time fractional Sharma-Tasso- Olver equation. With help of Maple, we can get exact explicit l-wave, 2-wave and 3-wave solutions, which include l-soliton, 2-soliton and 3-soliton type solutions if we use the multiple exp-function method while we can get only exact explicit l-wave solution including l-soliton type solution if we use the modified simple equation method. Two cases with specific values of the involved parameters are plotted for each 2-wave and 3-wave solutions. 展开更多
关键词 modified simple equation method multiple exp-function method nonlinear fractional partialdifferential equations exact solution solitary wave solutions 1-wave solution 2-wave solution 3-wave solution
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Application of Exp-function Method to Generalized Burgers-Fisher Equation 认领 引用 被引量：1
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作者 Zhen-hui Xu Da-quan Xian 《Acta Mathematicae Applicatae Sinica》 SCIE 2010年第4期669-676,共8页
In this paper,the Exp-function method is used to construct exact solitary wave solutions for the generalized Burgers-Fisher equation with nonlinear terms of any order.With the aid of Maple computation,we obtain many n... In this paper,the Exp-function method is used to construct exact solitary wave solutions for the generalized Burgers-Fisher equation with nonlinear terms of any order.With the aid of Maple computation,we obtain many new and more general exact solitary wave solutions expressed by various exponential and hyperbolic functions.Our results can successfully recover previously known solitary wave solutions that have been found by the tanh-function method and other more sophisticated methods. 展开更多
关键词 Generalized Burgers-Fisher equation Exp-function method solitary solution
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Double Exp-Function Method for Multisoliton Solutions of The Tzitzeica-Dodd-Bullough Equation 认领 引用
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作者 Alaattin ESEN N.Murat YAGMURLU Orkun TASBOZAN 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第2期461-468,共8页
In this work, it is aimed to find one- and two-soliton solutions to nonlinear Tzitzeica-Dodd-Bullough （TDB） equation. Since the double exp-function method has been widely used to solve several nonlinear evolution eq... In this work, it is aimed to find one- and two-soliton solutions to nonlinear Tzitzeica-Dodd-Bullough （TDB） equation. Since the double exp-function method has been widely used to solve several nonlinear evolution equations in mathematical physics, we have also used it with the help of symbolic computation for solving the present equation. The method seems to be easier and more accurate thanks to the recent developments in the field of symbolic computation. 展开更多
关键词 double exp-function method one-soliton two-soliton Tzitzeica-Dodd-Bullough equation solitary waves
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New exact solutions of coupled Boussinesq-Burgers equations by Exp-function method 认领 引用 被引量：9
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作者 L.K.Ravi S.Saha Ray S.Sahoo 《Journal of Ocean Engineering and Science》 SCIE 2017年第1期34-46,共13页
In the present paper,we build the new analytical exact solutions of a nonlinear differential equation,specifically,coupled Boussinesq-Burgers equations by means of Exp-function method.Then,we analyze the results by pl... In the present paper,we build the new analytical exact solutions of a nonlinear differential equation,specifically,coupled Boussinesq-Burgers equations by means of Exp-function method.Then,we analyze the results by plotting the three dimensional soliton graphs for each case,which exhibit the simplicity and effectiveness of the proposed method.The primary purpose of this paper is to employ a new approach,which allows us victorious and efficient derivation of the new analytical exact solutions for the coupled Boussinesq-Burgers equations. 展开更多
关键词 Exp-function method Solitary wave solutions Non-linear evolution equations Coupled Boussinesq-Burgers equations
Application of Exp-function Method to Wave Solutions of the Sine-Gordon and Ostrovsky Equations 认领 引用 被引量：2
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作者 R.A.TALARPOSHTI S.E.GHASEMI +1 位作者 Y.RAHMANI D.D.GANJI 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第3期571-578,共8页
In this work, the Exp-function method is employed to find new wave solutions for the Sine-Gordon and Ostrovsky equation. The equations are simplified to the nonlinear partial differential equations and then different ... In this work, the Exp-function method is employed to find new wave solutions for the Sine-Gordon and Ostrovsky equation. The equations are simplified to the nonlinear partial differential equations and then different types of exact solutions are extracted by this method. It is shown that the Exp-function method is a powerful analytical method for solving other nonlinear equations occurring in nonlinear physical phenomena. Results are presented in contour plots that show the different values of effective parameters on the velocity profiles. 展开更多
关键词 exp-function method nonlinear equation wave solutions Sine-Gordon equation Ostrovsky equation
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Investigating biological population model using exp-function method 认领 引用 被引量：2
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作者 Qazi Mahmood Ul Hassan Syed Tauseef Mohyud-Din 《International Journal of Biomathematics》 SCIE 2016年第2期159-173,共15页
This paper is the spectator of the arrangement of an efficient transformation and exfunction technique to build up generalized exact solutions of the biological population model equation. Computational work and subseq... This paper is the spectator of the arrangement of an efficient transformation and exfunction technique to build up generalized exact solutions of the biological population model equation. Computational work and subsequent numerical results re-identify the effectiveness of proposed algorithm. It is pragmatic that recommended plan is greatly consistent and may be comprehensive to other nonlinear differential equations of fractional order. 展开更多
关键词 Biological population model fractional calculus exp-function method.
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Broadband ground motion simulation and analysis of a near-fault 3D basin-mountain coupling site based on the hybrid method 认领 引用 被引量：1
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作者 Liu Zhongxian Tang Kang +2 位作者 Li Chengcheng Yuan Xiaoming Zhang Hai 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2026年第1期87-110,共24页
This study presents an effective hybrid simulation approach for simulating broadband ground motion in complex near-fault locations.The approach utilizes a deterministic approach based on the spectral element method(SE... This study presents an effective hybrid simulation approach for simulating broadband ground motion in complex near-fault locations.The approach utilizes a deterministic approach based on the spectral element method(SEM),which is used to simulate low-frequency ground motion(f1 Hz).A fourth-order Butterworth filter with zero phase shift is employed for time-domain filtering of low-and high-frequency time series at a crossover frequency of 1 Hz,merging the low and high-frequency ground motions into a broadband time series.Taking an Ms 6.8 Luding earthquake,as an example,this hybrid method was used for a rapid and efficient simulation analysis of broadband ground motion in the region.The accuracy and efficiency of this hybrid method were verified through comparisons with actually observed station data and empirical attenuation curves.Deterministic method simulation results revealed the effects of mountainous topography,basin effects,nonlinear effects within the basin’s sedimentary layers,and a coupling interaction between the basin and the mountains.The findings are consistent with similar studies,showing that near-fault sedimentary basins significantly focus and amplify strong ground motion,and the soil’s nonlinear behavior in the basin influences ground motion to varying extents at different distances from the fault.The mountainous topography impacts the basin’s response to ground motion,leading to barrier effects.This research provides a scientific foundation for seismic zoning,urban planning,and seismic design in nearfault mountain basin regions. 展开更多
关键词 hybrid ground motion simulation method spectral element method three-dimensional stochastic finite fault method near-fault basin-mountain coupling effect basin effect nonlinear effect
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Methods of preparation,structural characteristics of resistant starch and its relation to human health:a review 认领 引用 被引量：1
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作者 Weiyi Zhang Yang Yang +6 位作者 Chunmin Ma Bing Wang Xiaofei Liu Yan Wang Xin Bian Guang Zhang Na Zhang 《Food Science and Human Wellness》 SCIE CAS CSCD 2026年第4期1503-1519,共17页
Resistant starch(RS)comprises starch fractions that resist digestion in the small intestine and reach the colon,where they are fermented by the microbiota.Resistant starch harbors functional properties and healthpromo... Resistant starch(RS)comprises starch fractions that resist digestion in the small intestine and reach the colon,where they are fermented by the microbiota.Resistant starch harbors functional properties and healthpromoting ingredients that can regulate blood glucose and lipid levels,prevent cancer,and enhance the quality of life.Consequently,new technologies for the preparation of RS are continually being developed to support its industrial production.This review describes the structural and nutritional properties of RS and examines recent advancements in RS preparation methods.Emphasis is placed on how RS structure influences its properties and the physiological mechanisms in vivo.This review aims to stimulate further research into the preparation methods,functional characteristics,and utilization of RS,thereby supporting ongoing developments in the food industry. 展开更多
关键词 Resistant starch Preparation methods Characterization Function Human health
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Development of nontarget method based on GC-QTOF-HRMS for analyzing organic pollutants in human serum 认领 引用 被引量：1
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作者 Congcong Yue Chang He +5 位作者 Hailing Li Zhiquan Yuan Guiying Li Shengtao Ma Xin Zhang Taicheng An 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2026年第7期379-386,共8页
Traditional targeted analyses often overlook unknown or emerging contaminants,highlighting the significance of nontarget and suspect screening approaches.A novel and high-sensitivity methodology for nontarget analysis... Traditional targeted analyses often overlook unknown or emerging contaminants,highlighting the significance of nontarget and suspect screening approaches.A novel and high-sensitivity methodology for nontarget analysis of organic pollutants in human serum was newly-developed based on gas chromatography coupled with quadrupole time-of-flight high-resolution mass spectrometry.The extraction protocol employing an acetonitrile-ethyl acetate(9:1,V:V)mixture significantly improved the extraction efficiency while minimizing matrix effect.A hybridized analytical strategy integrating nontarget and suspect screening was developed to achieve comprehensive identification and classification of pollutants,employing the National Institute of Standards and Technology(NIST)20 library and Agilent Technologies Personal Compound Database and Library(PCDL).This approach successfully characterized 273 organic contaminants spanning 12 categories,including polycyclic aromatic hydrocarbons(PAHs)and their derivatives,esters,and phenolic compounds in human serum,with a significant increase in detection specificity compared to conventional workflows.The methodology used serum samples of the workers from coking industry,revealing widespread contamination dominated by PAHs and PAH derivatives.Among the target analytes,three were identified solely by NIST and six solely by PCDL,indicating the complementary benefits of combining these different databases.Notably,this work reported the first confirmed detection of 2-naphthalenamine in human serum.This optimized approach demonstrates enhanced sensitivity and reliability in serum analysis,advancing biomonitoring capabilities and providing a deep understanding of human exposure to environmental pollutants. 展开更多
关键词 Nontarget analysis Biomonitoring method Human serum sample Organic pollutants GC-QTOF-HRMS
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Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport 认领 引用 被引量：2
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作者 Hongyu Liu Xiaojian Yang +2 位作者 Chuang Zhang Xing Ji Kun Xu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第2期496-510,共15页
This paper presents a highly efficient implicit unified gas-kinetic particle(IUGKP)method for obtaining steady-state solutions of multi-scale phonon transport.The method adapts and reinterprets the integral solution o... This paper presents a highly efficient implicit unified gas-kinetic particle(IUGKP)method for obtaining steady-state solutions of multi-scale phonon transport.The method adapts and reinterprets the integral solution of the Bhatnagar-Gross-Krook(BGK)equation for time-independent solutions.The distribution function at a given point is determined solely by the surrounding equilibrium states,where the corresponding macroscopic quantities are computed through a weighted sum of equilibrium distribution functions from neighboring spatial positions.From a particle perspective,changes in macroscopic quantities within a cell result from particle transport across cell interfaces.These particles are sampled according to the equilibrium state of their original cells,accounting for their mean free path as the traveling distance.The IUGKP method evolves the solution according to the physical relaxation time scale,achieving high efficiency in large Knudsen number regimes.To accelerate convergence for small Knudsen numbers,an inexact Newton iteration method is implemented,incorporating macroscopic equations for convergence acceleration in the near-diffusive limit.The method also addresses spatial-temporal inconsistency caused by relaxation time variations in physical space through the null-collision concept.Numerical tests demonstrate the method’s excellent performance in accelerating multi-scale phonon transport solutions,achieving speedups of one to two orders of magnitude.The IUGKP method proves to be an efficient and accurate computational tool for simulating multiscale non-equilibrium heat transfer,offering significant advantages over traditional methods in both numerical performance and physical applicability. 展开更多
关键词 Implicit gas kinetic particle method Phonon Boltzmann transport equation Multi-scale heat conduction Steady-state
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Prediction method for stationary crossflow instability transition in supersonic boundary layers based on multi-layer perceptron 认领 引用 被引量：2
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作者 Lei Qiao Xi Jiang +5 位作者 Jiakun Fan Yutian Wang Lu Xie Ningjuan Dong Jiakuan Xu Junqiang Bai 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第7期36-51,共16页
Crossflow vortices induced transition is one of the most important instability types in supersonic aircraft boundary layers.While the traditional linear stability theory(LST)-based eN method demonstrates satisfactory ... Crossflow vortices induced transition is one of the most important instability types in supersonic aircraft boundary layers.While the traditional linear stability theory(LST)-based eN method demonstrates satisfactory predictive capabilities for this kind of transition,its practical implementation faces inherent limitations:the requirement of first-and second-order wallnormal derivatives of boundary layer velocityemperature profiles,the need for initial eigenvalue guesses,and the computational burden of solving eigenvalue problems.To address these challenges,this study develops a multi-layer perceptron(MLP)model tailored for linear stability analysis of three-dimensional compressible boundary layers based on the artificially defined quasi-three-dimensional non-similar boundary layer solutions.The boundary layer edge flow parameters and perturbation characteristics are mapped to eigenvalues or local growth rates of the envelop curves through fully connected layers.This architecture eliminates the need for computing wall-normal derivatives of velocityemperature profiles,initial eigenvalue estimation,and direct eigenvalue problem solving.Extensive validation across varying operational conditions and geometries(airfoils and swept wings)demonstrates exceptional agreement between the MLP’s predictions(eigenvalues and disturbance amplification factors)and traditional LST results.Furthermore,the model’s transition prediction capability is rigorously verified using National Aeronautics and Space Administration’s supersonic swept-wing crossflow-dominated transition benchmark,incorporating both stability analysis and flight test data.Results confirm the model is an efficient and reliable computational framework for transition prediction in three-dimensional finite-span wings. 展开更多
关键词 Supersonic swept wing Boundary layer transition Crossflow instability Linear stability theory eN method Multi-layer perceptron
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