Periodic Wave, Solitary Wave and Compacton Solutions of a Nonlinear Wave Equation with Degenerate Dispersion
| Autor: | Qi-Huai Liu, Ai-Yong Chen, Wen-Jing Zhu |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) Wave packet Mathematical analysis Hyperbolic function Degenerate energy levels Cnoidal wave Nonlinear Sciences::Exactly Solvable and Integrable Systems Stokes wave Sinusoidal plane-wave solutions of the electromagnetic wave equation Compacton Dispersion (water waves) Nonlinear Sciences::Pattern Formation and Solitons Mathematical physics |
| Zdroj: | Communications in Theoretical Physics. 63:57-62 |
| ISSN: | 0253-6102 |
| DOI: | 10.1088/0253-6102/63/1/10 |
| Popis: | In this letter, we investigate traveling wave solutions of a nonlinear wave equation with degenerate dispersion. The phase portraits of corresponding traveling wave system are given under different parametric conditions. Some periodic wave and smooth solitary wave solutions of the equation are obtained. Moreover, we find some new hyperbolic function compactons instead of well-known trigonometric function compactons by analyzing nilpotent points. |
| Databáze: | OpenAIRE |
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