On the rogue wave solution in the framework of a Korteweg–de Vries equation

Autor: Wedad Albalawi, S.A. El-Tantawy, Alvaro H. Salas
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Results in Physics, Vol 30, Iss , Pp 104847- (2021)
Druh dokumentu: article
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2021.104847
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 Schrödinger 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: Directory of Open Access Journals