Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations

被引：27
|
作者：
Chen, Shou-Ting [1 ]
Ma, Wen-Xiu [2 ,3 ,4 ,5 ,6 ,7 ]
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] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
[4] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[5] Shanghai Univ Elect Power, Coll Math & Phys, Shanghai 200090, Peoples R China
[6] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[7] North West Univ, Dept Math Sci, Mafikeng Campus, ZA-2735 Mmabatho, South Africa
来源：
COMPLEXITY | 2019年 / 2019卷
关键词：
INTEGRABLE SYMPLECTIC MAP; LUMP-KINK SOLUTIONS; SYMMETRY CONSTRAINT; HIERARCHY; SYSTEM;
D O I：
10.1155/2019/8787460
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered nonlinear equation is transformed into a Hirota bilinear form, and symbolic computations are made for solving both the nonlinear equation and the corresponding bilinear equation. A few classes of exact and explicit solutions are generated from different ansatze on solution forms, including traveling wave solutions, two-wave solutions, and polynomial solutions.
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页数：6
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