Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations
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 a...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/8787460 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566591809650688 |
|---|---|
| author | Shou-Ting Chen Wen-Xiu Ma |
| author_facet | Shou-Ting Chen Wen-Xiu Ma |
| author_sort | Shou-Ting Chen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0c7da243d65043ccb4f607e42c7657df |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-0c7da243d65043ccb4f607e42c7657df2025-02-03T01:03:44ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/87874608787460Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic ComputationsShou-Ting Chen0Wen-Xiu Ma1School of Mathematics and Physical Sciences, Xuzhou Institute of Technology, Xuzhou 221008, Jiangsu, ChinaDepartment of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USAWe 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.http://dx.doi.org/10.1155/2019/8787460 |
| spellingShingle | Shou-Ting Chen Wen-Xiu Ma Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations Complexity |
| title | Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations |
| title_full | Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations |
| title_fullStr | Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations |
| title_full_unstemmed | Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations |
| title_short | Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations |
| title_sort | exact solutions to a generalized bogoyavlensky konopelchenko equation via maple symbolic computations |
| url | http://dx.doi.org/10.1155/2019/8787460 |
| work_keys_str_mv | AT shoutingchen exactsolutionstoageneralizedbogoyavlenskykonopelchenkoequationviamaplesymboliccomputations AT wenxiuma exactsolutionstoageneralizedbogoyavlenskykonopelchenkoequationviamaplesymboliccomputations |