Bifurcation of Traveling Wave Solutions of the Dual Ito Equation
The dual Ito equation can be seen as a two-component generalization of the well-known Camassa-Holm equation. By using the theory of planar dynamical system, we study the existence of its traveling wave solutions. We find that the dual Ito equation has smooth solitary wave solutions, smooth periodic...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/153139 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564384785760256 |
|---|---|
| author | Xinghua Fan Shasha Li |
| author_facet | Xinghua Fan Shasha Li |
| author_sort | Xinghua Fan |
| collection | DOAJ |
| description | The dual Ito equation can be seen as a two-component generalization of the well-known Camassa-Holm equation. By using the theory of planar dynamical system, we study the existence of its traveling wave solutions. We find that the dual Ito equation has smooth solitary wave solutions, smooth periodic wave solutions, and periodic cusp solutions. Parameter conditions are given to guarantee the existence. |
| format | Article |
| id | doaj-art-146285286734451db859f3cdb6a8283a |
| 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-146285286734451db859f3cdb6a8283a2025-02-03T01:11:06ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/153139153139Bifurcation of Traveling Wave Solutions of the Dual Ito EquationXinghua Fan0Shasha Li1Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaThe dual Ito equation can be seen as a two-component generalization of the well-known Camassa-Holm equation. By using the theory of planar dynamical system, we study the existence of its traveling wave solutions. We find that the dual Ito equation has smooth solitary wave solutions, smooth periodic wave solutions, and periodic cusp solutions. Parameter conditions are given to guarantee the existence.http://dx.doi.org/10.1155/2014/153139 |
| spellingShingle | Xinghua Fan Shasha Li Bifurcation of Traveling Wave Solutions of the Dual Ito Equation Abstract and Applied Analysis |
| title | Bifurcation of Traveling Wave Solutions of the Dual Ito Equation |
| title_full | Bifurcation of Traveling Wave Solutions of the Dual Ito Equation |
| title_fullStr | Bifurcation of Traveling Wave Solutions of the Dual Ito Equation |
| title_full_unstemmed | Bifurcation of Traveling Wave Solutions of the Dual Ito Equation |
| title_short | Bifurcation of Traveling Wave Solutions of the Dual Ito Equation |
| title_sort | bifurcation of traveling wave solutions of the dual ito equation |
| url | http://dx.doi.org/10.1155/2014/153139 |
| work_keys_str_mv | AT xinghuafan bifurcationoftravelingwavesolutionsofthedualitoequation AT shashali bifurcationoftravelingwavesolutionsofthedualitoequation |