Explicit solutions for the \((2+1)\)-dimensional Jaulent-Miodek equation using the integrating factors method in an unbounded domain
type: Item
instance of: scholarly article
title: Explicit solutions for the \((2+1)\)-dimensional Jaulent-Miodek equation using the integrating factors method in an unbounded domain
zbMATH Open document ID: 1390.35042
author: Rahma Sadat
author: M. M. Kassem
published in: Mathematical \& Computational Applications
publication date: 2018-07-05T00:00:00Z
review text: Summary: In this work, we prove that the integrating factors can be used as a reduction method. Analytical solutions of the Jaulent-Miodek (JM) equation are obtained using integrating factors as an extension of a recent work where, through hidden symmetries, the JM was reduced to ordinary differential equations (ODEs). Some of these ODEs had no quadrature. We here derive several new solutions for these non-solvable ODEs.
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 6898894
zbMATH Keywords: hidden symmetry
zbMATH Keywords: integrating factors
zbMATH Keywords: Jaulent-Miodek equation
zbMATH Keywords: exact solution
MaRDI profile type: Publication
full work available at URL: mca23010015
OpenAlex ID: W2794056480
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Wikidata QID: Q130117222
DOI: 10.3390/MCA23010015
description: scientific article; zbMATH DE number 6898894