Construction of exact periodic wave and solitary wave solutions for the long-short wave resonance equations by VIM
type: Item
instance of: scholarly article
title: Construction of exact periodic wave and solitary wave solutions for the long-short wave resonance equations by VIM
zbMATH Open document ID: 1221.35040
author: Chaofa Deng
author: Yadong Shang
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-09-30T00:00:00Z
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 5952783
zbMATH Keywords: variational iteration method
zbMATH Keywords: long
zbMATH Keywords: short wave resonance equations
zbMATH Keywords: periodic wave solution
zbMATH Keywords: solitary wave solution
zbMATH Keywords: Lagrange multipliers
zbMATH Keywords: stationary conditions
MaRDI profile type: Publication
full work available at URL: j.cnsns.2008.01.005
OpenAlex ID: W2028378510
cites work: On two-dimensional packets of capillary-gravity waves
cites work: The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion
cites work: A General Theory for Interactions Between Short and Long Waves
cites work: Explicit and exact solutions for generalized long-short wave resonance equations with strong nonlinear term
cites work: Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices
cites work: Long time behavior for the weakly damped driven long-wave--short-wave resonance equations
cites work: Solitary wave solutions of nonlinear wave equations
cites work: The tanh method: I. Exact solutions of nonlinear evolution and wave equations
cites work: The tanh method: II. Perturbation technique for conservative systems
cites work: A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
cites work: Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
cites work: Exact solutions for a compound KdV-Burgers equation
cites work: A new approach to nonlinear partial differential equations
cites work: A review of the decomposition method in applied mathematics
cites work: Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
cites work: Application of homotopy perturbation method to nonlinear wave equations
cites work: Limit cycle and bifurcation of nonlinear problems
cites work: Approximate solution of nonlinear differential equations with convolution product nonlinearities
cites work: Approximate analytical solution for seepage flow with fractional derivatives in porous media
cites work: Variational iteration method for autonomous ordinary differential systems
cites work: Homotopy perturbation method: a new nonlinear analytical technique
cites work: The homotopy perturbation method for nonlinear oscillators with discontinuities.
cites work: The variational iteration method for solving two forms of Blasius equation on a half-infinite domain
cites work: The variational iteration method for a reliable treatment of the linear and the nonlinear goursat problem
cites work: The variational iteration method for exact solutions of Laplace equation
cites work: The variational iteration method for solving linear and nonlinear systems of PDEs
cites work: The variational iteration method: A reliable analytic tool for solving linear and nonlinear wave equations
cites work: Exact solitary wave solution of Boussinesq equation by VIM
cites work: The variational iteration method for solitary patterns solutions of gBBM equation
cites work: He's variational iteration method for solving linear and non-linear systems of ordinary differential equations
cites work: An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method
cites work: A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials
DOI: 10.1016/J.CNSNS.2008.01.005
description: scientific article; zbMATH DE number 5952783