New applications of developed Jacobi elliptic function expansion methods

DOI10.1016/j.physleta.2005.07.034zbMath1345.35091OpenAlexW1967691217MaRDI QIDQ936947

Publication date: 20 August 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.07.034

zbMATH Keywords

periodic solution solitary wave solution developed Jacobi elliptic function expansion methods envelope solitary wave solution non-linear evolution equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Nonlinear higher-order PDEs (35G20) Elliptic functions and integrals (33E05)

Related Items

Algebraic traveling wave solutions, Darboux polynomials and polynomial solutions, A class of new special solution of nonlinear diffusion equation, Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method, Algebraic travelling waves for the generalized Burgers-Fisher equation, Algebraic traveling waves for the generalized viscous Burgers equation, Some explicit expressions and interesting bifurcation phenomena for nonlinear waves in generalized Zakharov equations, Algebraic traveling waves for some family of reaction-diffusion equations including the Nagumo equations, Generalized solitary and periodic wave solutions to a \((2+1)\)-dimensional Zakharov-Kuznetsov equation, Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method, The \((\frac{G'}G)\)-expansion method for Tzitzéica type nonlinear evolution equations, Application of the \((\frac{G'}{G})\)-expansion method for the Zhiber-Shabat equation and other related equations, Compact and non compact structures of the phi-four equation, Exponential rational function method for solving nonlinear equations arising in various physical models, Travelling wave solutions of two nonlinear evolution equations by using the \((\frac{G'}{G})\)-expansion method, New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity, Some new solitary and travelling wave solutions of certain nonlinear diffusion-reaction equations using auxiliary equation method, Turbulence and shock-waves in crowd dynamics, Application of (\(\frac{G'}{G}\))-expansion method to travelling wave solutions of three nonlinear evolution equation, Exact and explicit solutions to the (3+1)-dimensional Jimbo-Miwa equation via the Exp-function method, New exact solutions to the compound KdV-Burgers system with nonlinear terms of any order, Kink-like wave and compacton-like wave solutions for a two-component Fornberg-Whitham equation, Solitary-wave solutions of the Klein-Gordon equation with quintic nonlinearity, A modified form of \(\left(\frac{G^\prime}{G}\right)\)-expansion method and its application to potential Kadomtsev-Petviashvili (PKP) equation, Application of the Exp-function method to the (2+1)-dimensional Boiti–Leon–Pempinelli equation using symbolic computation, Kink-like wave and compacton-like wave solutions for generalized KdV equation, Polygons of differential equations for finding exact solutions, Exact solutions for the generalized Klein-Gordon equation via a transformation and exp-function method and comparison with Adomian's method, Algebraic traveling waves for the generalized Newell-Whitehead-Segel equation, A direct method for constructing the traveling wave solutions of a modified generalized Vakhnenko equation, Exact solutions for the transformed reduced Ostrovsky equation via the \(F\)-expansion method in terms of Weierstrass-elliptic and Jacobian-elliptic functions, Extraction of solitary wave features to the Heisenberg ferromagnetic spin chain and the complex Klein-Gordon equations, Quasi-rational function solutions of an elliptic equation and its application to solve some nonlinear evolution equations, New variable separation solutions of two-dimensional Burgers system, Exact and explicit solutions to nonlinear evolution equations using the division theorem, New application of \((G'/G)\)-expansion method to a nonlinear evolution equation, New explicit solutions of the nonlinear wave equations with damping term, Exact and explicit solutions to some nonlinear evolution equations by utilizing the \((G'/G)\)-expansion method, New exact complex traveling wave solutions for \((2+1)\)-dimensional BKP equation, Analytic study on two nonlinear evolution equations by using the (\(G^{\prime}/G\))-expansion method, Exact solutions of nonlinear Schrödinger equation by using symbolic computation, A series of abundant exact travelling wave solutions for a modified generalized Vakhnenko equation using auxiliary equation method, Solitons and other solutions to (n+1)-dimensional modified Zakharov-Kuznetsov equation by exp-function method, Nonlinear Schrödinger equation for envelope Rossby waves with complete Coriolis force and its solution, Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method, Diverse precise traveling wave solutions possessing beta derivative of the fractional differential equations arising in mathematical physics, Exact solutions of nonlinear wave equations using \((G^\prime/G, 1/G)\)-expansion method

Cites Work