The breather-like and rational solutions for the integrable Kadomtsev-Petviashvili-based system
type: Item
instance of: scholarly article
title: The breather-like and rational solutions for the integrable Kadomtsev-Petviashvili-based system
zbMATH Open document ID: 1338.35100
DOI: 10.1155/2015/861069
author: Chuanjian Wang
author: Zhengde Dai
author: Changfu Liu
published in: Advances in Mathematical Physics
publication date: 2016-05-02T00:00:00Z
review text: Summary: The integrable Kadomtsev-Petviashvili-based system is studied. The breather-like (a pulsating mode) and rational solutions are presented applying Hirota bilinear method and Taylor series. The intricate structures of the rational solitary wave solution are discussed mathematically and graphically. The existence conditions of three different solitary wave solution structure for the short-wave field are given by the theory of extreme value analysis. By controlling the wave number of the background plane wave we may control the the behavior of rational solitary wave. However, the shape of the rational solitary wave solution for the real long-wave field is not affected as the wave number is varied.
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35G55
zbMATH DE Number: 6575776
zbMATH Keywords: Hirota bilinear method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/861069
OpenAlex ID: W1500804082
Wikidata QID: Q59102574
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description: scientific article; zbMATH DE number 6575776