The simplest equation method and its application for solving the nonlinear NLSE, KGZ, GDS, DS, and GZ equations
type: Item
instance of: scholarly article
title: The simplest equation method and its application for solving the nonlinear NLSE, KGZ, GDS, DS, and GZ equations
zbMATH Open document ID: 1397.35069
DOI: 10.1155/2013/960798
author: Yun-Mei Zhao
author: Yinghui He
author: Yao Long
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method, and then the exact solutions of a class of nonlinear evolution equations which can be converted to the elliptic-like equation using travelling wave reduction are obtained. For example, the perturbed nonlinear Schrödinger's equation (NLSE), the Klein-Gordon-Zakharov (KGZ) system, the generalized Davey-Stewartson (GDS) equations, the Davey-Stewartson (DS) equations, and the generalized Zakharov (GZ) equations are investigated and the exact solutions are presented using this method.
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 6950961
Wikidata QID: Q59007173
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/960798
OpenAlex ID: W2010639494
DBLP publication ID: journals/jam/ZhaoHL13
description: scientific article; zbMATH DE number 6950961