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

被引：38
作者：
Albalawi, Wedad [1 ]
El-Tantawy, S. A. [2 ,3 ]
Salas, Alvaro H. [4 ]
机构：
[1] Princess Nourah Bint Abdulrahman Univ, Dept Math Sci, Coll Sci, Riyadh, Saudi Arabia
[2] Port Said Univ, Dept Phys, Fac Sci, Port Said 42521, Egypt
[3] Al Baha Univ, Fac Sci & Arts, Dept Phys, Res Ctr Phys RCP, Al Bahah, Saudi Arabia
[4] Univ Nacl Colombia, FIZMAKO Res Grp, Sede Maniz Dept Math & Stat, Bogota, Colombia
来源：
RESULTS IN PHYSICS | 2021年 / 30卷
关键词：
Korteweg-de Vries equation; A nonlinear Schrodinger equation; Derivative expansion method; Rogue waves and breathers; Plasma physics; FREAK WAVES; MULTIPLE-SOLITON; PLASMAS; DYNAMICS; IONS; KDV;
D O I：
10.1016/j.rinp.2021.104847
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
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页数：5
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