Multi-exponential wave solutions to two extended Jimbo–Miwa equations and the resonance behavior
| Autor: | Wei-Yong Ruan, Xing Lü, Hao-Nan Xu, Yu Zhang |
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| Rok vydání: | 2020 |
| Předmět: |
Applied Mathematics
010102 general mathematics Dynamics (mechanics) Mathematical analysis Chaotic Bilinear interpolation 01 natural sciences Resonance (particle physics) Exponential function 010101 applied mathematics Waves and shallow water Superposition principle Fluid dynamics 0101 mathematics Mathematics |
| Zdroj: | Applied Mathematics Letters. 99:105976 |
| ISSN: | 0893-9659 |
| DOI: | 10.1016/j.aml.2019.07.007 |
| Popis: | Resonance phenomena occur widely in fluid, physics and other fields, e.g., they are related with the optical elements, the well-balanced scheme for shallow water with discontinuous topography, and some phenomena in chaotic dynamics and fluid dynamics. Application of the principle of linear superposition to the Hirota bilinear equation gives rise to a sufficient and necessary condition for the existence of multi-exponential wave solutions. We study the resonance behavior based on the construction of multi-exponential wave solution to two extended (3 + 1)- dimensional Jimbo–Miwa equations. The resonance characteristics are analyzed and simulated for some resonant two-wave and three-wave solutions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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