A simplification for Exp-function method when the balanced nonlinear term is a certain product
type: Item
instance of: scholarly article
title: A simplification for Exp-function method when the balanced nonlinear term is a certain product
zbMATH Open document ID: 1297.34018
DOI: 10.1155/2013/264549
author: Hong-Zhun Liu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: The Exp-function method plays an important role in searching for analytic solutions of many nonlinear differential equations. In this paper, we prove that the balancing procedure in the method is unnecessary when the balanced nonlinear term is a product of the dependent variable under consideration and its derivatives. And in this case, the ansatz of the method can be simplified to be with less parameters so as to be easy to calculate.
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6306576
zbMATH Keywords: analytic solutions
Wikidata QID: Q58915725
describes a project that uses: AEFM
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/264549
OpenAlex ID: W2001082274
cites work: Exp-function method for nonlinear wave equations
cites work: Application of Exp-function method to a KdV equation with variable coefficients
cites work: New periodic solutions for nonlinear evolution equations using Exp-function method
cites work: New application of Exp-function method for improved Boussinesq equation
cites work: Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
cites work: Application of Exp-function method for nonlinear evolution equations with variable coefficients
cites work: Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
cites work: Exp-function method and its application to nonlinear equations
cites work: Exact solutions for nonlinear evolution equations using Exp-function method
cites work: AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
cites work: Application of Exp-function method to Symmetric Regularized Long Wave (SRLW) equation
cites work: Application of Exp-function method to Riccati equation and new exact solutions with three arbitrary functions of Broer-Kaup-Kupershmidt equations
cites work: A note on the Exp-function method and its application to nonlinear equations
cites work: New exact solutions for the Kawahara equation using exp-function method
cites work: Application of Exp-function method for \((2 + 1)\)-dimensional nonlinear evolution equations
cites work: Exact travelling wave solutions of the discrete sine-Gordon equation obtained via the exp-function method
cites work: Some remarks on Exp-function method and its applications
cites work: An improvement on the exp-function method when balancing the highest order linear and nonlinear terms
cites work: New exact solutions to the KdV-Burgers-Kuramoto equation with the Exp-function method
cites work: Exact solutions of \(\phi^4\) equation using Lie symmetry approach along with the simplest equation and exp-function methods
cites work: New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the Exp-function method
cites work: A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method
cites work: Asymptotic methods for solitary solutions and compactons
cites work: Exact solutions of extended shallow water wave equations by exp‐function method
cites work: New solutions for (1+1)-dimensional and (2+1)-dimensional Kaup--Kupershmidt equations
cites work: New exact solutions for a generalized double sinh-Gordon equation
cites work: A multiple exp-function method for nonlinear differential equations and its application
cites work: Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
cites work: Exp-function method for fractional differential equations
cites work: Using Algebraic Geometry
description: scientific article; zbMATH DE number 6306576