On dynamics of multi-solitons for the good Boussinesq (gB) equation

被引：4

作者：

Vatchev, Vesselin ^{[1
]}

Qiao, Zhijun ^{[2
]}

机构：

[1] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Brownsville, TX 78520 USA

[2] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

来源：

WAVE MOTION | 2022年 / 112卷

关键词：

Fission; Fusion; Resonant solitons; Good Boussinesq equation; Hirota substitution; DE-VRIES EQUATION; HIERARCHY; EVOLUTION;

D O I：

10.1016/j.wavemoti.2022.102929

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper, we discuss a general decomposition for solutions obtained through the Hirota substitution method from linear combinations of exponents. In particular, we study the Wronskian solutions for the good Boussinesq (gB) equation. The asymptotical analysis is carried in terms of multi-linear functions. We show that a multi-soliton solution for the good Boussinesq equation, which involves interaction of two resonant solitons, always develops singularity. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：20

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