Exact solutions of \(\phi^4\) equation using Lie symmetry approach along with the simplest equation and exp-function methods
type: Item
instance of: scholarly article
title: Exact solutions of \(\phi^4\) equation using Lie symmetry approach along with the simplest equation and exp-function methods
zbMATH Open document ID: 1257.35075
DOI: 10.1155/2012/350287
author: Nematollah Kadkhoda
author: Hossein Jafari
author: Chaudry Masood Khalique
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: This paper obtains the exact solutions of the \(\phi^4\) equation. The Lie symmetry approach along with the simplest equation method and the Exp-function method are used to obtain these solutions. As a simplest equation we have used the equation of Riccati in the simplest equation method. Exact solutions obtained are travelling wave solutions.
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35B06
zbMATH DE Number: 6134066
Wikidata QID: Q58696375
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/350287
OpenAlex ID: W1998799111
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description: scientific article; zbMATH DE number 6134066