M-lump and hybrid solutions of a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation

被引：86
作者：
Zhao, Zhonglong [1 ]
He, Lingchao [1 ]
机构：
[1] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 111卷
基金：
山西省青年科学基金;
关键词：
Generalized (2+1)-dimensional; Hirota-Satsuma-Ito equation; M-lump solutions; Hybrid solutions; SOLITON SOLUTIONS;
D O I：
10.1016/j.aml.2020.106612
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the N-soliton solutions of a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation are obtained by means of the bilinear method. By applying the long wave limit to the N-solitons, the M-lump waves are constructed. The propagation orbits, velocities and the collisions among the lumps of the M-lump waves are analyzed. Three kinds of high-order hybrid solutions are presented, which contain the hybrid solution between lumps and solitons, a 1-lump and 1-breather, and a m-breather and n-soliton. The results are helpful to explain some nonlinear phenomena of the generalized shallow water wave model. (C) 2020 Elsevier Ltd. All rights reserved.
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