Interactions between exotic multi-valued solitons of the (2+1)-dimensional Korteweg-de Vries equation describing shallow water wave

被引：69
作者：
Dai, Chao-Qing [1 ,2 ]
Wang, Yue-Yue [1 ,2 ]
Fan, Yan [1 ,2 ]
Zhang, Jie-Fang [3 ]
机构：
[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China
[2] Zhejiang A&F Univ, Zhejiang Prov Key Lab Chem Utilizat Forestry Biom, Linan 31130, Zhejiang, Peoples R China
[3] Zhejiang Univ Media & Commun, Sch Elect Informat, Hangzhou 310018, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2020年 / 80卷
基金：
中国国家自然科学基金;
关键词：
Interactions between multi-valued solitons; (2+1)-dimensional Korteweg-de Vries equation; Exponential-form variable separation solution; VARIABLE SEPARATION SOLUTIONS; COMBINED BREATHER; ROGUE WAVE; EVOLUTION; DISPERSION/DIFFRACTION; MODEL;
D O I：
10.1016/j.apm.2019.11.056
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Korteweg-de Vries equation governs the weakly nonlinear long wave whose phase speed reaches a simple maximum of wave with the infinite length in shallow water wave. The exponential-form variable separation solution of (2+1)-dimensional Kortweg-de Vries equation is found via the two-function method, and this solution covers many special combined solutions including sinh-cosh,sin-cos,sech-tanh,csch-coth,sec-tan and csc-cot solutions. From the exponential-form solution with choosing suitable functions, inelastic interactions between special multi-valued solitons with two loops such as anti-bell-shaped, anti-peak-shaped semifoldons and anti-foldon are graphically and analytically studied. By the asymptotic analysis, phase shift and its difference during interactions between multivalued solitons are analytically given. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：506 / 515
页数：10
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