Traveling wave solutions and infinite-dimensional linear spaces of multiwave solutions to Jimbo-Miwa equation
type: Item
instance of: scholarly article
title: Traveling wave solutions and infinite-dimensional linear spaces of multiwave solutions to Jimbo-Miwa equation
zbMATH Open document ID: 1474.35580
DOI: 10.1155/2014/963852
author: Chaudry Masood Khalique
author: Lijun Zhang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The traveling wave solutions and multiwave solutions to (3 + 1)-dimensional Jimbo-Miwa equation are investigated in this paper. As a result, besides the exact bounded solitary wave solutions, we obtain the existence of two families of bounded periodic traveling wave solutions and their implicit formulas by analysis of phase portrait of the corresponding traveling wave system. We derive the exact 2-wave solutions and two families of arbitrary finite \(N\)-wave solutions by studying the linear space of its Hirota bilinear equation, which confirms that the (3 + 1)-dimensional Jimbo-Miwa equation admits multiwave solutions of any order and is completely integrable.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 7023409
Wikidata QID: Q59043158
describes a project that uses: ATFM
describes a project that uses: Maple
describes a project that uses: MACSYMA
describes a project that uses: HBFTrans2
describes a project that uses: HIROTA.MAX
describes a project that uses: Bilinearization
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/963852
OpenAlex ID: W2147077782
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description: scientific article; zbMATH DE number 7023409