Resonance Y-type soliton and hybrid solutions of a (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation

被引：48
|
作者：
Zhao, Zhonglong [1 ]
He, Lingchao [2 ]
机构：
[1] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
[2] Taiyuan Univ Technol, Coll Mech & Vehicle Engn, P, Taiyuan 030024, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 122卷
基金：
山西省青年科学基金;
关键词：
(2+1)-dimensional asymmetrical; Nizhnik-Novikov-Veselov equation; Resonance Y-type solitons; Hybrid solutions; LUMP-KINK SOLUTIONS; WAVE; DEFORMATION; DYNAMICS; FUSION;
D O I：
10.1016/j.aml.2021.107497
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation is studied. By adding some new constraints to the N-soliton solutions, the resonance Y-type soliton and the interaction solutions between M-resonance Y-type solitons and P-resonance Y-type solitons are obtained. The new types of solutions including the double openings of resonance Y-type soliton solutions and mixed solutions of resonance solitons and breathers are presented. The hybrid solutions consisting of the resonance Y-type solitons and the multiple lump waves are constructed by using restrictions and the long wave limit method. The trajectories of lump waves in hybrid waves are analyzed from the point of view of mathematical mechanism. The results are helpful to explain some new nonlinear phenomena in the theory of solitons. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：8
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