A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation
We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation, which was first derived by Boiti et al. (1986)...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/764750 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548396642074624 |
|---|---|
| author | Zhen Wang Li Zou Zhi Zong Hongde Qin |
| author_facet | Zhen Wang Li Zou Zhi Zong Hongde Qin |
| author_sort | Zhen Wang |
| collection | DOAJ |
| description | We introduce two subequations with
different independent variables for constructing exact solutions to
nonlinear partial differential equations. In order to illustrate the
efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. As a result, we obtained many new exact solutions. |
| format | Article |
| id | doaj-art-61c0e9955eba41e7b7be5152434492cd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-61c0e9955eba41e7b7be5152434492cd2025-02-03T06:14:10ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/764750764750A Family of Novel Exact Solutions to 2+1-Dimensional KdV EquationZhen Wang0Li Zou1Zhi Zong2Hongde Qin3School of Mathematical Science, Dalian University of Technology, Dalian 116024, ChinaSchool of Naval Architecture, Dalian University of Technology, Dalian 116085, ChinaSchool of Naval Architecture, Dalian University of Technology, Dalian 116085, ChinaNaval Architecture and Ocean Engineering, Harbin Engineering University, Harbin 150001, ChinaWe introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. As a result, we obtained many new exact solutions.http://dx.doi.org/10.1155/2014/764750 |
| spellingShingle | Zhen Wang Li Zou Zhi Zong Hongde Qin A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation Abstract and Applied Analysis |
| title | A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation |
| title_full | A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation |
| title_fullStr | A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation |
| title_full_unstemmed | A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation |
| title_short | A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation |
| title_sort | family of novel exact solutions to 2 1 dimensional kdv equation |
| url | http://dx.doi.org/10.1155/2014/764750 |
| work_keys_str_mv | AT zhenwang afamilyofnovelexactsolutionsto21dimensionalkdvequation AT lizou afamilyofnovelexactsolutionsto21dimensionalkdvequation AT zhizong afamilyofnovelexactsolutionsto21dimensionalkdvequation AT hongdeqin afamilyofnovelexactsolutionsto21dimensionalkdvequation AT zhenwang familyofnovelexactsolutionsto21dimensionalkdvequation AT lizou familyofnovelexactsolutionsto21dimensionalkdvequation AT zhizong familyofnovelexactsolutionsto21dimensionalkdvequation AT hongdeqin familyofnovelexactsolutionsto21dimensionalkdvequation |