Lump and Rogue Wave Solutions of a Reduced (3+1)-Dimensional Shallow Water Equation

被引：3

作者：

Gu, Jiayue ^{[1
]}

Dong, Huanhe ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2018年 / 8卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Lump solution; rogue wave; (3+1)-dimensional shallow water equation; Hirota bilinear operator; ROSSBY SOLITARY WAVES; KINK SOLUTIONS; HIERARCHY; SOLITONS; WELL;

D O I：

10.4208/eajam.271217.130318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Considering a reduced (3 + 1)-dimensional shallow water equation, we use Hirota formulation and symbolic calculation to derive positive lump solitons rationally localised in all directions of the (x, y)-plane. The interaction of the lump and one stripe solitons is studied. Numerical experiments show that the collision of such solutions is completely inelastic and the lump soliton is swallowed by the stripe one. Exploring the interaction of the lump and a couple of resonance stripe solitons, we note that the lump soliton transforms into a ghost soliton. Most of the time it remains hidden in stripe solitons, but appears at a certain time and fades after that.

引用

页码：510 / 518

页数：9

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