A generalized expansion method for nonlinear wave equations
A generalized Jacobian/exponential expansion method for finding the exact traveling wave solutions of a nonlinear partial differential equation is discussed. We use this method to construct many new, previously undiscovered exact solutions for the Boussinesq and modified KdV equations. We also apply...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
IOP Publishing
2009
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| Online Access: | http://hdl.handle.net/20.500.11937/25582 |
| _version_ | 1848751749259591680 |
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| author | Lin, Qun Wu, Yong Hong Loxton, Ryan |
| author_facet | Lin, Qun Wu, Yong Hong Loxton, Ryan |
| author_sort | Lin, Qun |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A generalized Jacobian/exponential expansion method for finding the exact traveling wave solutions of a nonlinear partial differential equation is discussed. We use this method to construct many new, previously undiscovered exact solutions for the Boussinesq and modified KdV equations. We also apply it to the shallow long wave approximate equations. New solutions are deduced for this system of partial differential equations. |
| first_indexed | 2025-11-14T07:57:40Z |
| format | Journal Article |
| id | curtin-20.500.11937-25582 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:57:40Z |
| publishDate | 2009 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-255822019-02-19T05:35:35Z A generalized expansion method for nonlinear wave equations Lin, Qun Wu, Yong Hong Loxton, Ryan A generalized Jacobian/exponential expansion method for finding the exact traveling wave solutions of a nonlinear partial differential equation is discussed. We use this method to construct many new, previously undiscovered exact solutions for the Boussinesq and modified KdV equations. We also apply it to the shallow long wave approximate equations. New solutions are deduced for this system of partial differential equations. 2009 Journal Article http://hdl.handle.net/20.500.11937/25582 10.1088/1751-8113/42/4/045207 IOP Publishing fulltext |
| spellingShingle | Lin, Qun Wu, Yong Hong Loxton, Ryan A generalized expansion method for nonlinear wave equations |
| title | A generalized expansion method for nonlinear wave equations |
| title_full | A generalized expansion method for nonlinear wave equations |
| title_fullStr | A generalized expansion method for nonlinear wave equations |
| title_full_unstemmed | A generalized expansion method for nonlinear wave equations |
| title_short | A generalized expansion method for nonlinear wave equations |
| title_sort | generalized expansion method for nonlinear wave equations |
| url | http://hdl.handle.net/20.500.11937/25582 |