The homogeneous balance method, Lax pair, Hirota transformation and a general fifth-order KdV equation

From MaRDI portal
Publication:5950953

DOI10.1016/S0960-0779(00)00274-5zbMath1028.35132arXivnlin/0108026WikidataQ127394955 ScholiaQ127394955MaRDI QIDQ5950953

Ying-Hai Wang, Fajiang Zhang, Lei Yang

Publication date: 2 January 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0108026



Related Items

Exact solutions for some nonlinear evolution equations which describe pseudo-spherical surfaces, Multi-symplectic quasi-interpolation method for the KdV equation, New multiple solution to the Boussinesq equation and the Burgers-like equation, A numerical method for KdV equation using collocation and radial basis functions, Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg-de Vries equations, Solutions of the Cahn-Hilliard equation, Differential quadrature method to examine the dynamical behavior of soliton solutions to the Korteweg-de Vries equation, Crank-Nicolson - differential quadrature algorithms for the Kawahara equation, Symplectic multiquadric quasi-interpolation approximations of KdV equation, Exp-function method for the exact solutions of fifth order KdV equation and modified Burgers equation, Forward scattering for non-linear wave propagation in (3 + 1)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods, A meshless numerical solution of the family of generalized fifth‐order Korteweg‐de Vries equations, Exact and numerical solutions of generalized Drinfeld-Sokolov equations, Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive \(mK(m,n)\) equations, Exact solutions for the generalized KdV equation by using Bäcklund transformations, Elementary functions for constructing exact solutions to nonlinear partial differential equations with applications to nonlinear Schrödinger type and MHD equations, Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations, Applications of the new compound Riccati equations rational expansion method and Fan's subequation method for the Davey-Stewartson equations, Canonical reduction of self-dual Yang-Mills equations to Fitzhugh-Nagumo equation and exact solutions, Analytic method for solitary solutions of some partial differential equations, Exact solutions for coupled KdV equation and KdV equations, Exact solutions for a perturbed nonlinear Schrödinger equation by using Bäcklund transformations, An efficient approach for the numerical solution of fifth-order KdV equations, On the solution of the coupled Schrödinger-KdV equation by the decomposition method, Exact solutions for a perturbed nonlinear Schrödinger equation by using Bäcklund transformations, Auto-Bäcklund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order, Solitary-wave solutions for compound KdV-type and compound KdV--Burgers-type equations with nonlinear terms of any order, Complete Group Classifications and Symmetry Reductions of the Fractional Fifth-Order KdV Types of Equations, On a generalized fifth order KdV equation



Cites Work