Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations-Reference-Cited by-同舟云学术

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

Published:2019-01-20 Issue: Volume:2019 Page:1-6
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Chen Shou-Ting¹^ORCID,Ma Wen-Xiu²³⁴⁵⁶^ORCID

Affiliation:

1. School of Mathematics and Physical Sciences, Xuzhou Institute of Technology, Xuzhou 221008, Jiangsu, China

2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

3. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

4. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China

5. College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China

6. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, China

Abstract

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 ansätze on solution forms, including traveling wave solutions, two-wave solutions, and polynomial solutions.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2019/8787460.pdf

Reference39 articles.

1. Solitons, Nonlinear Evolution Equations and Inverse Scattering

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