Analysis of Stability of Traveling Wave for Kadomtsev-Petviashvili Equation
This paper presents the boundedness and uniform boundedness of traveling wave solutions for the Kadomtsev-Petviashvili (KP) equation. They are discussed by means of a traveling wave transformation and Lyapunov function.
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/230871 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555259306704896 |
|---|---|
| author | Jun Liu Xi Liu Gui Mu Chunyan Zhu Jie Fu |
| author_facet | Jun Liu Xi Liu Gui Mu Chunyan Zhu Jie Fu |
| author_sort | Jun Liu |
| collection | DOAJ |
| description | This paper presents the boundedness and uniform boundedness of traveling wave solutions for the Kadomtsev-Petviashvili (KP) equation. They are discussed by means of a traveling wave transformation and Lyapunov function. |
| format | Article |
| id | doaj-art-1a27452394934ffa8d946b27099182c9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1a27452394934ffa8d946b27099182c92025-02-03T05:48:38ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/230871230871Analysis of Stability of Traveling Wave for Kadomtsev-Petviashvili EquationJun Liu0Xi Liu1Gui Mu2Chunyan Zhu3Jie Fu4College of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655011, ChinaCollege of Information Science and Engineering, Yunnan University, Kunming, Yunnan 650091, ChinaCollege of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655011, ChinaCollege of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655011, ChinaCollege of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655011, ChinaThis paper presents the boundedness and uniform boundedness of traveling wave solutions for the Kadomtsev-Petviashvili (KP) equation. They are discussed by means of a traveling wave transformation and Lyapunov function.http://dx.doi.org/10.1155/2013/230871 |
| spellingShingle | Jun Liu Xi Liu Gui Mu Chunyan Zhu Jie Fu Analysis of Stability of Traveling Wave for Kadomtsev-Petviashvili Equation Abstract and Applied Analysis |
| title | Analysis of Stability of Traveling Wave for Kadomtsev-Petviashvili Equation |
| title_full | Analysis of Stability of Traveling Wave for Kadomtsev-Petviashvili Equation |
| title_fullStr | Analysis of Stability of Traveling Wave for Kadomtsev-Petviashvili Equation |
| title_full_unstemmed | Analysis of Stability of Traveling Wave for Kadomtsev-Petviashvili Equation |
| title_short | Analysis of Stability of Traveling Wave for Kadomtsev-Petviashvili Equation |
| title_sort | analysis of stability of traveling wave for kadomtsev petviashvili equation |
| url | http://dx.doi.org/10.1155/2013/230871 |
| work_keys_str_mv | AT junliu analysisofstabilityoftravelingwaveforkadomtsevpetviashviliequation AT xiliu analysisofstabilityoftravelingwaveforkadomtsevpetviashviliequation AT guimu analysisofstabilityoftravelingwaveforkadomtsevpetviashviliequation AT chunyanzhu analysisofstabilityoftravelingwaveforkadomtsevpetviashviliequation AT jiefu analysisofstabilityoftravelingwaveforkadomtsevpetviashviliequation |