Lump solutions with higher-order rational dispersion relations

被引：88

作者：

Ma, Wen-Xiu ^{[1
,2
,3
,4
,5
,6
]}

Zhang, Liqin ^{[3
,7
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia

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

[4] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China

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

[6] North West Univ, Dept Math Sci, Mafikeng Campus, ZA-2735 Mmabatho, South Africa

[7] Xiamen Inst Technol, Coll Informat Sci & Artificial Intelligence, Xiamen 361021, Fujian, Peoples R China

来源：

PRAMANA-JOURNAL OF PHYSICS | 2020年 / 94卷 / 01期

关键词：

Symbolic computation; lump solution; dispersion relation; 02; 30; Ik;

D O I：

10.1007/s12043-020-1918-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper aims to explore a kind of lump solutions in nonlinear dispersive waves with higher-order rational dispersion relations. We show that the second member in the commuting Kadomtsev-Petviashvili hierarchy is such an example, and construct its lump solutions, based on a Hirota trilinear form. The presented lump solutions have one peak and two valleys, where the global maximum and minimum values are achieved. A few three-dimensional plots and contour plots are made for a specific example of the lumps.

引用

页数：7

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