Interactions between Solitons and Cnoidal Periodic Waves of the Gardner Equation

被引：14

作者：

Yu Wei-Feng ^{[1
,2
]}

Lou Sen-Yue ^{[1
,3
]}

Yu Jun ^{[2
]}

Hu Han-Wei ^{[4
]}

机构：

[1] Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China

[2] Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China

[3] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China

[4] Beilun Minggang High Sch, Dept Phys, Ningbo 315211, Zhejiang, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2014年 / 31卷 / 07期

基金：

中国国家自然科学基金;

关键词：

NONLINEAR LATTICE; HEAT PULSES; PROPAGATION; SOLIDS;

D O I：

10.1088/0256-307X/31/7/070203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

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