On the rogue wave solution in the framework of a Korteweg–de Vries equation
| Autor: | S. A. El-Tantawy, Alvaro H. Salas, Wedad Albalawi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Korteweg–de Vries equation Event (relativity) Derivative expansion method QC1-999 Mathematics::Analysis of PDEs General Physics and Astronomy Physics::Optics A nonlinear Schrödinger equation Plasma physics symbols.namesake High Energy Physics::Theory Nonlinear Sciences::Exactly Solvable and Integrable Systems symbols Rogue waves and breathers Rogue wave Nonlinear Schrödinger equation Nonlinear Sciences::Pattern Formation and Solitons Mathematical physics |
| Zdroj: | Results in Physics, Vol 30, Iss, Pp 104847-(2021) |
| ISSN: | 2211-3797 |
| Popis: | In this study, the propagation mechanism of the unstable modulated structures (e.g., rogue wave (RW)) in the framework of the family of a Korteweg–de Vries (KdV) equation is discussed. Using the derivative expansion method, the KdV is converted to a nonlinear Schrodinger equation (NLSE); from now on, we refer to it as the KdV-NLSE. After that we shall discuss whether the KdV-NLSE is suitable for describing the rogue waves (RWs) or not. Also, we shall present some appropriate methods to discuss such waves in the event that the KdV-NLSE fails to describe them. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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