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Cusp solitons and cusp-like singular solutions for nonlinear equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Qiao, Zhijun Qiao, Xin |
| Copyright Year | 2005 |
| Abstract | This paper gives two new families of nonlinear partial differential equations (PDEs). One has cusp soliton solution while the other possesses the cusp-like singular traveling wave solution. A typical integrable system: Harry–Dym (HD) equation is able to be contained in both families and has cusp soliton solution as well as cusp-like singular traveling wave solution. We prove that the cusp solution of the HD equation is not stable and the cusp-like solution is not included in the parametric solutions of the HD equation. |
| Starting Page | 153 |
| Ending Page | 163 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.chaos.2004.09.074 |
| Volume Number | 25 |
| Alternate Webpage(s) | https://faculty.utrgv.edu/zhijun.qiao/Qiao-CSF2005.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.chaos.2004.09.074 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
