Interactions between Solitons and Cnoidal Periodic Waves of the Gardner Equation

The Gardner equation is one of the most important prototypic models in nonlinear physics. Many scholars pay much attention to the Gardner equation and various nonlinear excitations of the Gardner equation have been found by many methods. However, it is very difficult to find interaction solutions am...

Full description

Saved in:
Bibliographic Details
Published inChinese physics letters Vol. 31; no. 7; pp. 9 - 11
Main Author 余炜沣 楼森岳 俞军 胡瀚玮
Format Journal Article
LanguageEnglish
Published 01.07.2014
Subjects
Excitation
Mathematical analysis
Mathematical models
Nonlinearity
Riccati equation
Riccati方程
Solitons
Wave interaction
周期波
孤子
椭圆余弦波
相互作用
非线性激励
非线性激发
非线性物理学
Online AccessGet full text
ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/31/7/070203

Cover

More Information
Summary:The Gardner equation is one of the most important prototypic models in nonlinear physics. Many scholars pay much attention to the Gardner equation and various nonlinear excitations of the Gardner equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this work, with the help of the Riccati equation, the Gardner equation is solved by the consistent Riccati expansion. Furthermore, we obtain the soliton-cnoidal wave interaction solutions of the Gardner equation.
Bibliography:11-1959/O4
The Gardner equation is one of the most important prototypic models in nonlinear physics. Many scholars pay much attention to the Gardner equation and various nonlinear excitations of the Gardner equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this work, with the help of the Riccati equation, the Gardner equation is solved by the consistent Riccati expansion. Furthermore, we obtain the soliton-cnoidal wave interaction solutions of the Gardner equation.
YU Wei-Feng, LOU Sen-Yue, YU Jun, HU Han-Wei（ 1Faculty of Science, Ningbo University, Ningbo 315211 ; 2Department of Physics, Shaoxing University, Shaoxing 312000 ;3Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062 ; 4Department of Physics, Beilun Minggang High School, Ningbo 315211）
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/31/7/070203