Lump solutions to the ()-dimensional Sawada-Kotera equation

被引：0

作者：

Zhang, Hai-Qiang ^{[1
,2
]}

Ma, Wen-Xiu ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, POB 253, Shanghai 200093, Peoples R China

[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

来源：

NONLINEAR DYNAMICS | 2017年 / 87卷 / 04期

基金：

上海市自然科学基金; 中国国家自然科学基金;

关键词：

Lump solution; Bilinear equations; (2+1)-dimensional Sawada-Kotera equation; I EQUATION;

D O I：

10.1007/s11071-016-3190-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, via generalized bilinear forms, we consider the ()-dimensional bilinear p-Sawada-Kotera (SK) equation. We derive analytical rational solutions in terms of positive quadratic functions. Through applying the dependent transformation, we present a class of lump solutions of the ()-dimensional SK equation. Those rationally decaying solutions in all space directions exhibit two kinds of characters, i.e., bright lump wave (one peak and two valleys) and bright-dark lump wave (one peak and one valley). In addition, we also obtain three families of bright-dark lump wave solutions to the nonlinear p-SK equation for .

引用

页码：2305 / 2310

页数：6

共 23 条

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