Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation

被引：200
作者：
Lu, Xing [1 ]
Chen, Shou-Ting [2 ]
Ma, Wen-Xiu [3 ,4 ]
机构：
[1] Beijing Jiao Tong Univ, Dept Math, Beijing 100044, Peoples R China
[2] Xuzhou Inst Technol, Sch Math & Phys Sci, Xuzhou 221111, Jiangsu, Peoples R China
[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[4] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, Mafikeng Campus,Private Bag X 2046, ZA-2735 Mmabatho, South Africa
来源：
NONLINEAR DYNAMICS | 2016年 / 86卷 / 01期
基金：
上海市自然科学基金; 中国博士后科学基金; 中国国家自然科学基金;
关键词：
Lump solution; Generalized bilinear operator; Generalized Kadomtsev-Petviashvili-Boussinesq equation; RATIONAL SOLUTIONS; SYMBOLIC COMPUTATION; BILINEAR EQUATIONS; INTEGRABILITY; POLYNOMIALS; WAVES;
D O I：
10.1007/s11071-016-2905-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Associated with the prime number p = 3, a combined model of generalized bilinear Kadomtsev-Petviashvili and Boussinesq equation (gbKPB for short) in terms of the function f is proposed, which involves four arbitrary coefficients. To guarantee the existence of lump solutions, a constraint among these four coefficients is presented firstly, and then, the lump solutions are constructed and classified via searching for positive quadratic function solutions to the gbKPB equation. Different conditions posed on lump parameters are investigated to keep the analyticity and rational localization of the resulting solutions. Finally, 3-dimensional plots, density plots and 2-dimensional curves with particular choices of the involved parameters are given to show the profile characteristics of the presented lump solutions for the potential function u = 2(lnf)(x)
引用
收藏
页码：523 / 534
页数：12
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