Traveling Wave Solutions and Infinite-Dimensional Linear Spaces of Multiwave Solutions to Jimbo-Miwa Equation
The traveling wave solutions and multiwave solutions to (3 + 1)-dimensional Jimbo-Miwa equation are investigated in this paper. As a result, besides the exact bounded solitary wave solutions, we obtain the existence of two families of bounded periodic traveling wave solutions and their implicit form...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/963852 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559255749656576 |
|---|---|
| author | Lijun Zhang C. M. Khalique |
| author_facet | Lijun Zhang C. M. Khalique |
| author_sort | Lijun Zhang |
| collection | DOAJ |
| description | The traveling wave solutions and multiwave solutions to (3 + 1)-dimensional Jimbo-Miwa equation are investigated in this paper. As a result, besides the
exact bounded solitary wave solutions, we obtain the existence of two families
of bounded periodic traveling wave solutions and their implicit formulas by
analysis of phase portrait of the corresponding traveling wave system. We
derive the exact 2-wave solutions and two families of arbitrary finite N-wave
solutions by studying the linear space of its Hirota bilinear equation, which
confirms that the (3 + 1)-dimensional Jimbo-Miwa equation admits multiwave solutions of any order and is completely integrable. |
| format | Article |
| id | doaj-art-0281d0fd321442d597bf27eb6a062773 |
| 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-0281d0fd321442d597bf27eb6a0627732025-02-03T01:30:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/963852963852Traveling Wave Solutions and Infinite-Dimensional Linear Spaces of Multiwave Solutions to Jimbo-Miwa EquationLijun Zhang0C. M. Khalique1Department of Mathematics, School of Science, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, ChinaDepartment of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaThe traveling wave solutions and multiwave solutions to (3 + 1)-dimensional Jimbo-Miwa equation are investigated in this paper. As a result, besides the exact bounded solitary wave solutions, we obtain the existence of two families of bounded periodic traveling wave solutions and their implicit formulas by analysis of phase portrait of the corresponding traveling wave system. We derive the exact 2-wave solutions and two families of arbitrary finite N-wave solutions by studying the linear space of its Hirota bilinear equation, which confirms that the (3 + 1)-dimensional Jimbo-Miwa equation admits multiwave solutions of any order and is completely integrable.http://dx.doi.org/10.1155/2014/963852 |
| spellingShingle | Lijun Zhang C. M. Khalique Traveling Wave Solutions and Infinite-Dimensional Linear Spaces of Multiwave Solutions to Jimbo-Miwa Equation Abstract and Applied Analysis |
| title | Traveling Wave Solutions and Infinite-Dimensional Linear Spaces of Multiwave Solutions to Jimbo-Miwa Equation |
| title_full | Traveling Wave Solutions and Infinite-Dimensional Linear Spaces of Multiwave Solutions to Jimbo-Miwa Equation |
| title_fullStr | Traveling Wave Solutions and Infinite-Dimensional Linear Spaces of Multiwave Solutions to Jimbo-Miwa Equation |
| title_full_unstemmed | Traveling Wave Solutions and Infinite-Dimensional Linear Spaces of Multiwave Solutions to Jimbo-Miwa Equation |
| title_short | Traveling Wave Solutions and Infinite-Dimensional Linear Spaces of Multiwave Solutions to Jimbo-Miwa Equation |
| title_sort | traveling wave solutions and infinite dimensional linear spaces of multiwave solutions to jimbo miwa equation |
| url | http://dx.doi.org/10.1155/2014/963852 |
| work_keys_str_mv | AT lijunzhang travelingwavesolutionsandinfinitedimensionallinearspacesofmultiwavesolutionstojimbomiwaequation AT cmkhalique travelingwavesolutionsandinfinitedimensionallinearspacesofmultiwavesolutionstojimbomiwaequation |