Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation

被引：137

作者：

Chen, Shou-Ting ^{[1
]}

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

机构：

[1] Xuzhou Inst Technol, Sch Math & Phys Sci, Xuzhou 221008, Jiangsu, Peoples R China

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

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

[4] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus, ZA-2735 Mmabatho, South Africa

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2018年 / 13卷 / 03期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Symbolic computation; lump solution; soliton theory; KADOMTSEV-PETVIASHVILI EQUATION; INTEGRABLE SYMPLECTIC MAP; ROSSBY SOLITARY WAVES; SYMMETRY CONSTRAINT; BOUSSINESQ EQUATION; CONSERVATION-LAWS; KINK SOLUTIONS; HIERARCHY; SOLITONS; SYSTEM;

D O I：

10.1007/s11464-018-0694-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A (2 + 1)-dimensional generalized Bogoyavlensky-Konopelchenko equation that possesses a Hirota bilinear form is considered. Starting with its Hirota bilinear form, a class of explicit lump solutions is computed through conducting symbolic computations with Maple, and a few plots of a specicpresented lump solution are made to shed light on the characteristics of lumps. The result provides a new example of (2 + 1)-dimensional nonlinear partial differential equations which possess lump solutions.

引用

页码：525 / 534

页数：10

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