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.
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页数：6
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