Exact solutions for nonlinear evolution equations using Exp-function method
From MaRDI portal
Publication:552935
DOI10.1016/j.physleta.2007.10.018zbMath1217.35151OpenAlexW2084880168MaRDI QIDQ552935
Publication date: 26 July 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2007.10.018
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)
Related Items
Solutions of some class of nonlinear PDEs in mathematical physics ⋮ New solitary wave solutions and stability analysis of the Benney-Luke and the Phi-4 equations in mathematical physics ⋮ Extended simplest equation method for nonlinear differential equations ⋮ New exact and solitary wave solutions of nonlinear Schamel-KdV equation ⋮ Dromions for the coupled Maccari's system in fluid mechanics ⋮ New exact solutions of some nonlinear systems of partial differential equations using the first integral method ⋮ Application of exp-function method to generalized Burgers-Fisher equation ⋮ Solitary and periodic wave solutions of Calogero-Bogoyavlenskii-Schiff equation via exp-function methods ⋮ New exact solutions to the generalized Burgers-Huxley equation ⋮ Traveling wave solutions of the nonlinear Drinfel'd-Sokolov-Wilson equation and modified Benjamin-Bona-Mahony equations ⋮ The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics ⋮ Exact traveling wave solutions of Kadomtsev-Petviashvili equation ⋮ Exponential rational function method for solving nonlinear equations arising in various physical models ⋮ Optical solitons, nonlinear self-adjointness and conservation laws for Kundu-Eckhaus equation ⋮ Construction of traveling wave solutions of the (2 + 1)‐dimensional modified KdV‐KP equation ⋮ An exp-function method for new \(N\)-soliton solutions with arbitrary functions of a \((2+1)\)-dimensional vcBK system ⋮ New solitary wave solutions to nonlinear evolution equations by the exp-function method ⋮ New exact solutions to the KdV-Burgers-Kuramoto equation with the Exp-function method ⋮ Traveling wave solutions of some coupled nonlinear evolution equations ⋮ Applications of an extended \((G'/G)\)-expansion method to find exact solutions of nonlinear PDEs in mathematical physics ⋮ Traveling wave solutions of nonlinear evolution equations via the enhanced \((G^{\prime}/G)\)-expansion method ⋮ The new exact solitary wave solutions and stability analysis for the \((2+1)\)-dimensional Zakharov-Kuznetsov equation ⋮ Application of the enhanced modified simple equation method for Burger-Fisher and modified Volterra equations ⋮ AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING ⋮ Exp-function method for N-soliton solutions of nonlinear evolution equations in mathematical physics ⋮ A new auxiliary equation method and its application to the Sharma-Tasso-Olver model ⋮ Review of wavelet methods for the solution of reaction-diffusion problems in science and engineering ⋮ The improved \((G'/G)\)-expansion method for the \((2+1)\)-dimensional modified Zakharov-Kuznetsov equation ⋮ Explicit solutions of the nonlinear partial differential equations ⋮ Exact solutions for nonlinear evolution equations using Exp-function method ⋮ A simplification for Exp-function method when the balanced nonlinear term is a certain product ⋮ A novel traveling wave solution for Ostrovsky equation using Exp-function method ⋮ Exp-function method for a nonlinear ordinary differential equation and new exact solutions of the dispersive long wave equations ⋮ General exp\(_a\)-function method for nonlinear evolution equations ⋮ Modified simple equation method for nonlinear evolution equations ⋮ New solitons and periodic solutions for nonlinear physical models in mathematical physics ⋮ Be careful with the Exp-function method ⋮ Reduction of the Sharma-Tasso-Olver equation and series solutions ⋮ Closed form solutions of two nonlinear equation via the enhanced (G′/G)-expansion method ⋮ Analytical studies on the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation defined by seismic sea waves ⋮ Exact traveling wave solutions of an autonomous system via the enhanced (G′/G)-expansion method ⋮ On the complex structures of Kundu-Eckhaus equation via improved Bernoulli sub-equation function method ⋮ Solitary wave solutions Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation ⋮ Travelling wave solutions of the Cahn-Allen equation by using first integral method ⋮ New solitary wave solutions of some nonlinear evolution equations with distinct physical structures ⋮ A note on modified generalized Riccati equation method combined with new algebra expansion ⋮ How far one can go with the exp-function method? ⋮ Exact travelling wave solutions of nonlinear evolution equations by using the \((\frac{G'}{G})\)-expansion method ⋮ The (\(\frac{G'}{G})\)-expansion method and its applications to some nonlinear evolution equations in the mathematical physics ⋮ Application of exp-function method to the Whitham-Broer-Kaup shallow water model using symbolic computation ⋮ Diverse precise traveling wave solutions possessing beta derivative of the fractional differential equations arising in mathematical physics ⋮ \(N\)-soliton solutions of the KP equation by Exp-function method
Cites Work
- Exact solutions for nonlinear evolution equations using Exp-function method
- Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
- Application of Exp-function method to a KdV equation with variable coefficients
- The sine-cosine method for obtaining solutions with compact and noncompact structures
- A generalized F-expansion method to find abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional Nizhnik-Novikov-Veselov equation
- Jacobian elliptic function method for nonlinear differential-difference equations
- Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system
- Analytic study on nonlinear variants of the RLW and the PHI-four equations
- The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
- Exp-function method for nonlinear wave equations
- Exp-function method and its application to nonlinear equations
- A sine-cosine method for handling nonlinear wave equations
- Applications of the Jacobi elliptic function method to special-type nonlinear equations
- The tanh method for traveling wave solutions of nonlinear equations
- The improved F-expansion method and its applications
- Exact solutions for a compound KdV-Burgers equation
- A simple transformation for nonlinear waves.
- New solitons and kinks solutions to the Sharma-Tasso-Olver equation
- A note on the homogeneous balance method
- The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
- New exact travelling wave solutions using modified extended tanh-function method
- New periodic solutions for nonlinear evolution equations using Exp-function method
- The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equations
- Extended tanh-function method and its applications to nonlinear equations
- Solitary wave solutions of nonlinear wave equations
- The inverse scattering transform: Semi-infinite interval
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations