文献类型：期刊文献

英文题名：Interaction behavior between solitons and (2+1)-dimensional CDGKS waves

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

年份：2019

卷号：86

起止页码：150

外文期刊名：WAVE MOTION

收录：SCI-EXPANDED(收录号：WOS:000460719000012)、、EI(收录号：20190406423428)、Scopus(收录号：2-s2.0-85060340493)、WOS

基金：The work was sponsored by the Zhejiang Provincial Natural Science Foundation of China (No. LQ16A010003 and LY19A050003), the National Natural Science Foundation of China (Nos. 11505154, 11605156 and 11775146), the China Scholarship Council, and the Foundation for Doctoral Program of Zhejiang Ocean University, China (No. Q1511).

语种：英文

外文关键词：(2+1)-dimensional CDGKS equation; Darboux transformation related nonlocal symmetry; Symmetry reduction method; Interaction solution

外文摘要：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.