Peaked and Smooth Solitons for K*(4,1) Equation
| Autor: | Yongan Xie, Hualiang Fu, Shengqiang Tang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Journal of Applied Mathematics, Vol 2013 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1110-757X 1687-0042 |
| DOI: | 10.1155/2013/518415 |
| Popis: | This paper is contributed to explore all possible single peak solutions for the K*(4,1) equation ut=uxu2+2α(uuxxx+2uxuxx). Our procedure shows that the K*(4,1) equation either has peakon, cuspon, and smooth soliton solutions when sitting on a nonzero constant pedestal limξ→±∞u=A≠0 or possesses compacton solutions only when limξ→±∞u=A=0. We present a new smooth soliton solution in an explicit form. Mathematical analysis and numeric graphs are provided for those soliton solutions of the K*(4,1) equation. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|