Interaction behavior between solitons and (2+1)-dimensional CDGKS waves

被引:21
作者
Cheng, Xueping [1 ,2 ]
Yang, Yunqing [1 ,2 ]
Ren, Bo [3 ]
Wang, Jianyong [4 ]
机构
[1] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316022, Peoples R China
[2] Key Lab Oceanog Big Data Min & Applicat Zhejiang, Zhoushan 316022, Peoples R China
[3] Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China
[4] Quzhou Univ, Dept Math & Phys, Quzhou 324000, Peoples R China
基金
中国国家自然科学基金;
关键词
(2+1)-dimensional CDGKS equation; Darboux transformation related nonlocal symmetry; Symmetry reduction method; Interaction solution; NONLINEAR EVOLUTION-EQUATIONS; NONLOCAL SYMMETRIES; SAWADA-KOTERA; OPTICAL SOLITONS; KDV EQUATION;
D O I
10.1016/j.wavemoti.2018.08.008
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Starting from the Darboux transformation (DT) related nonlocal symmetry of the (2+1) dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation, the original symmetry is localized by introducing four field quantities. On the basis of the local symmetry, some novel group invariant solutions are derived by utilizing the classical symmetry reduction method. The result shows that the essential and unique role of the DT is to add an additional soliton to the fifth order nonlinear wave, which is the basic reduction of the (2+1)-dimensional CDGKS equation. As an illustration, the interactions between solitons and fifth order nonlinear waves expressed by Jacobi elliptic functions and incomplete elliptic integrals of the third kind are exhibited, and some of their dynamical properties are analyzed. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:150 / 161
页数:12
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