Paper Info
Title
M-lump and hybrid solutions of a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation
Abstract
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.
Year
DOI
Venue
2021
10.1016/j.aml.2020.106612
Applied Mathematics Letters
Keywords
DocType
Volume
Generalized (2+1)-dimensional Hirota–Satsuma–Ito equation,M-lump solutions,Hybrid solutions
Journal
111
ISSN
Citations 
PageRank 
0893-9659
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Zhonglong Zhao111.03
Lingchao He200.68