Lump Solutions to a (2+1)-Dimensional Fifth-Order KdV-Like Equation

被引：18

作者：

Batwa, Sumayah ^{[1
,2
]}

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

机构：

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

[2] King Abdulaziz Univ, Math Dept, Jeddah 21589, Saudi Arabia

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

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

[5] Shanghai Univ Elect Power, Coll Math & Phys, Shanghai 200090, Peoples R China

[6] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, Private Bag X2046, ZA-2735 Mmabatho, South Africa

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2018年 / 2018卷

基金：

美国国家科学基金会;

关键词：

CAUDREY-DODD-GIBBON; RATIONAL SOLUTIONS; SOLITON-SOLUTIONS; SAWADA-KOTERA;

D O I：

10.1155/2018/2062398

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A (2+1)-dimensional fifth-order KdV-like equation is introduced through a generalized bilinear equation with the prime number p = 5. The new equation possesses the same bilinear form as the standard (2+1)-dimensional fifth-order KdV equation. By Maple symbolic compulation, classes oflump solutions are constructed from a search for quadratic function solutions to the corresponding generalized bilinear equation. We get a set of free parameters in the resulting lump solutions, of which we can get a nonzero determinant condition ensuring analyticity and rational localization of the solutions. Particular classes of lump solutions with special choices of the free parameters are generated and plotted as illustrative examples.

引用

页数：6

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