Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal
We investigate the traveling solitary wave solutions of the generalized Camassa-Holm equation ut - uxxt + 3u2ux=2uxuxx + uuxxx on the nonzero constant pedestal limξ→±∞uξ=A. Our procedure shows that the generalized Camassa-Holm equation with nonzero constant boundary has cusped and smooth soliton so...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/423063 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558173867737088 |
|---|---|
| author | Dong Li Yongan Xie Shengqiang Tang |
| author_facet | Dong Li Yongan Xie Shengqiang Tang |
| author_sort | Dong Li |
| collection | DOAJ |
| description | We investigate the traveling solitary wave solutions of the generalized Camassa-Holm equation ut - uxxt + 3u2ux=2uxuxx + uuxxx on the nonzero constant pedestal limξ→±∞uξ=A. Our procedure shows that the generalized Camassa-Holm equation with nonzero constant boundary has cusped and smooth soliton solutions. Mathematical analysis and numerical simulations are provided for these traveling soliton solutions of the generalized Camassa-Holm equation. Some exact explicit solutions are obtained. We show some graphs to explain our these solutions. |
| format | Article |
| id | doaj-art-59c71578d30f47cf8638175e2e33f3f9 |
| 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-59c71578d30f47cf8638175e2e33f3f92025-02-03T01:32:56ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/423063423063Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant PedestalDong Li0Yongan Xie1Shengqiang Tang2School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaWe investigate the traveling solitary wave solutions of the generalized Camassa-Holm equation ut - uxxt + 3u2ux=2uxuxx + uuxxx on the nonzero constant pedestal limξ→±∞uξ=A. Our procedure shows that the generalized Camassa-Holm equation with nonzero constant boundary has cusped and smooth soliton solutions. Mathematical analysis and numerical simulations are provided for these traveling soliton solutions of the generalized Camassa-Holm equation. Some exact explicit solutions are obtained. We show some graphs to explain our these solutions.http://dx.doi.org/10.1155/2014/423063 |
| spellingShingle | Dong Li Yongan Xie Shengqiang Tang Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal Abstract and Applied Analysis |
| title | Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal |
| title_full | Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal |
| title_fullStr | Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal |
| title_full_unstemmed | Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal |
| title_short | Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal |
| title_sort | cusped and smooth solitons for the generalized camassa holm equation on the nonzero constant pedestal |
| url | http://dx.doi.org/10.1155/2014/423063 |
| work_keys_str_mv | AT dongli cuspedandsmoothsolitonsforthegeneralizedcamassaholmequationonthenonzeroconstantpedestal AT yonganxie cuspedandsmoothsolitonsforthegeneralizedcamassaholmequationonthenonzeroconstantpedestal AT shengqiangtang cuspedandsmoothsolitonsforthegeneralizedcamassaholmequationonthenonzeroconstantpedestal |