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

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

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...

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Bibliographic Details
Main Authors: Wedad Albalawi, S.A. El-Tantawy, Alvaro H. Salas
Format: Article
Language:English
Published: Elsevier 2021-11-01
Series:Results in Physics
Subjects:
Korteweg–de Vries equation
A nonlinear Schrödinger equation
Derivative expansion method
Rogue waves and breathers
Plasma physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379721008913
Description
Summary: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.
ISSN:2211-3797

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