Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations
type: Item
instance of: scholarly article
title: Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations
zbMATH Open document ID: 1117.65143
author: Sheng Zhang
author: Tiecheng Xia
published in: Applied Mathematics and Computation
publication date: 2007-01-11T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 5115434
zbMATH Keywords: modified extended Fan sub-equation method
zbMATH Keywords: soliton-like solutions
zbMATH Keywords: triangular-like solutions
zbMATH Keywords: Jacobi elliptic wave function-like solutions
zbMATH Keywords: Weierstrass elliptic doubly-like periodic solutions
zbMATH Keywords: Broer-Kaup-Kupershmidt equations
zbMATH Keywords: symbolic computation
MaRDI profile type: Publication
full work available at URL: j.amc.2006.06.004
OpenAlex ID: W2007543053
cites work: Q3995225
cites work: Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
cites work: The Painlevé property for partial differential equations
cites work: A simple transformation for nonlinear waves.
cites work: Homotopy perturbation method for bifurcation of nonlinear problems
cites work: Application of homotopy perturbation method to nonlinear wave equations
cites work: Application of He's homotopy perturbation method to Volterra's integro-differential equation
cites work: The solution of KdV and mKdV equations using Adomian Padé approximation
cites work: Exact solutions for a compound KdV-Burgers equation
cites work: Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method
cites work: Solitary wave solutions of nonlinear wave equations
cites work: Travelling solitary wave solutions to a compound KdV-Burgers equation.
cites work: Extended tanh-function method and its applications to nonlinear equations
cites work: New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water
cites work: On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations
cites work: On an improved complex tanh-function method
cites work: Symbolic computation in nonlinear evolution equation: application to \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
cites work: Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
cites work: New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
cites work: The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations
cites work: Periodic wave solutions to a coupled KdV equations with variable coefficients
cites work: Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
cites work: The periodic wave solutions for the (3 + 1)-dimensional Klein-Gordon-Schrödinger equations
cites work: Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
cites work: The extended \(F\)-expansion method and exact solutions of nonlinear PDEs
cites work: Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems
cites work: Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
cites work: A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves
cites work: An algebraic method exactly solving two high-dimensional nonlinear evolution equations
cites work: A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation
cites work: The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
cites work: The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
cites work: delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation
DOI: 10.1016/J.AMC.2006.06.004
Recommended article: The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
Recommended article: A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation
Recommended article: A further improved extended Fan sub-equation method for \((2+1)\)-dimensional breaking soliton equations
Recommended article: New exact solutions for the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equations
Recommended article: New exact solutions to the (2 + 1)-dimensional Broer-Kaup equation
Recommended article: Further improved \(F\)-expansion method and new exact solutions of Kadomstev-Petviashvili equation
Recommended article: Q4810645
Recommended article: New exact solutions for the \((2 + 1)\)-dimensional generalized Broer-Kaup system
Recommended article: Q4658807
Recommended article: New Exact Solutions of the Integrable Broer–Kaup Equations in (2+1)-Dimensional Spaces
description: scientific article; zbMATH DE number 5115434