A 'firewall' effect during the rogue wave and breather interactions to the Manakov system

被引：30

作者：

Li, Bang-Qing ^{[1
]}

Ma, Yu-Lan ^{[2
]}

机构：

[1] Beijing Technol & Business Univ, Sch Comp Sci & Engn, Beijing 100048, Peoples R China

[2] Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 02期

关键词：

Manakov system; Darboux transformation; Rogue wave; Breather; 'Firewall' effect; Inelastic collision; Semi-elastic collision; DARBOUX TRANSFORMATION; COLLISIONS; SOLITONS; DYNAMICS;

D O I：

10.1007/s11071-022-07878-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

By the means of reconstructing the Darboux transformation to the Manakov system, we obtain the new explicit solutions composed of a rogue wave and a breather for the system. Via controlling the parameter involved in the solutions, we reveal a novel 'firewall' effect during the rogue wave and breather interactions. There are three cases of inelastic collisions and one type of semi-elastic collision between the rogue wave and breather. Particularly, either of the rogue wave or breather cannot cross over another during the collision.

引用

页码：1565 / 1575

页数：11

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