Novel loop-like solitons for the generalized Vakhnenko equation

A non-traveling wave solution of a generalized Vakhnenko equation arising from the high-frequent wave motion in a relaxing medium is derived via the extended Riccati mapping method.The solution includes an arbitrary function of an independent variable.Based on the solution,two hyperbolic functions a...

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Published inChinese physics B Vol. 22; no. 3; pp. 271 - 274
Main Author 张旻 马玉兰 李帮庆
Format Journal Article
LanguageEnglish
Published 01.03.2013
Subjects
Construction
Hyperbolic functions
Independent variables
Mapping
Mathematical analysis
Riccati
Solitons
Wave motion
单回路
双曲函数
孤子方程
广义
映射方法
环状
非行波解
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/3/030511

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Abstract A non-traveling wave solution of a generalized Vakhnenko equation arising from the high-frequent wave motion in a relaxing medium is derived via the extended Riccati mapping method.The solution includes an arbitrary function of an independent variable.Based on the solution,two hyperbolic functions are chosen to construct new solitons.Novel single-loop-like and double-loop-like solitons are found for the equation.
AbstractList A non-traveling wave solution of a generalized Vakhnenko equation arising from the high-frequent wave motion in a relaxing medium is derived via the extended Riccati mapping method. The solution includes an arbitrary function of an independent variable. Based on the solution, two hyperbolic functions are chosen to construct new solitons. Novel single-loop-like and double-loop-like solitons are found for the equation.
Author 张旻 马玉兰 李帮庆
AuthorAffiliation School of Science, Beijing Technology and Business University, Beijing 100048, China School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China
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Notes Zhang Min , Ma Yu-Lan , Li Bang-Qing（1） School of Science, Beijing Technology and Business University, Beijing 100048, China ;2） School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China
generalized Vakhnenko equation,extended Riccati mapping method,nontraveling wave solution,loop-like soliton
11-5639/O4
A non-traveling wave solution of a generalized Vakhnenko equation arising from the high-frequent wave motion in a relaxing medium is derived via the extended Riccati mapping method.The solution includes an arbitrary function of an independent variable.Based on the solution,two hyperbolic functions are chosen to construct new solitons.Novel single-loop-like and double-loop-like solitons are found for the equation.
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SubjectTerms Construction
Hyperbolic functions
Independent variables
Mapping
Mathematical analysis
Riccati
Solitons
Wave motion
单回路
双曲函数
孤子方程
广义
映射方法
环状
非行波解
Title Novel loop-like solitons for the generalized Vakhnenko equation
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