文献类型：期刊文献

英文题名：Soliton molecules, multi-breathers and hybrid solutions in (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation

作者：Wei, Peng-Fei[1];Long, Chun-Xiao[1];Zhu, Chen[1];Zhou, Yi-Ting[1];Yu, Hui-Zhen[1];Ren, Bo[2]

机构：[1]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China;[2]Zhejiang Univ Technol, Dept Math, Hangzhou 310014, Peoples R China

年份：2022

卷号：158

外文期刊名：CHAOS SOLITONS & FRACTALS

收录：SCI-EXPANDED(收录号：WOS:000800396300010)、、EI(收录号：20221511953041)、Scopus(收录号：2-s2.0-85127807996)、WOS

基金：Acknowledgements This work is supported by the National Natural Science Foundation of China Grant No. 11775146 and the Xinyuan Transportation Electronics Company Limited of Zhejiang Province of China Grant No. KYY-HX-20220005.

语种：英文

外文关键词：KdVSKR equation; soliton molecule; breather; lump

外文摘要：The (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani (KdVSKR) equation which consists of the KdV equation and the SK equation is studied. Soliton molecules of the KdVSKR equation are given by means of the velocity resonance mechanism. By selecting the values of the phases, soliton molecule bounded by the three solitons is transferred to other type of the soliton molecule bounded by the asymmetric soliton and one soliton. Multi-breather solutions are derived by selecting the complex conjugate relations in the parameters. The relative positions for the maximum amplitudes of the multi-breathers can adjust with different values of the phases. It demonstrates that the phases of the multi-soliton solutions play an important effect in certain phenomena. In the meanwhile, the interactions between a soliton molecule and one-order breather, and between a soliton molecule and one-order lump of the KdVSKR equation are analyzed. The interactions are an elastic collisions by both the analytical and graphical ways.