The rational solutions and quasi-periodic wave solutions as well as interactions of \(N\)-soliton solutions for \(3 + 1\) dimensional Jimbo-Miwa equation
type: Item
instance of: scholarly article
title: The rational solutions and quasi-periodic wave solutions as well as interactions of \(N\)-soliton solutions for \(3 + 1\) dimensional Jimbo-Miwa equation
zbMATH Open document ID: 1361.35042
DOI: 10.1155/2016/7241625
author: Xiaoen Zhang
author: Yong Zhang
author: Xin Chen
author: Hong-Wei Yang
author: Zhenhua Xu
published in: Advances in Mathematical Physics
publication date: 2017-01-17T00:00:00Z
review text: Summary: The exact rational solutions, quasi-periodic wave solutions, and \(N\)-soliton solutions of \(3 + 1\) dimensional Jimbo-Miwa equation are acquired, respectively, by using the Hirota method, whereafter the rational solutions are also called algebraic solitary waves solutions and used to describe the squall lines phenomenon and explained possible formation mechanism of the rainstorm formation which occur in the atmosphere, so the study on the rational solutions of soliton equations has potential application value in the atmosphere field; the soliton fission and fusion are described based on the resonant solution which is a special form of the \(N\)-soliton solutions. At last, the interactions of the solitons are shown with the aid of \(N\)-soliton solutions.
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35B15
Mathematics Subject Classification ID: 35Q86
zbMATH DE Number: 6675522
zbMATH Keywords: Hirota method
zbMATH Keywords: algebraic solitary waves
Wikidata QID: Q59122551
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/7241625
OpenAlex ID: W2563371819
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description: scientific article; zbMATH DE number 6675522