The Hybrid Finite Difference and Moving Boundary Methods for Solving a Linear Damped Nonlinear Schrödinger Equation to Model Rogue Waves and Breathers in Plasma Physics
Joint Authors
Salas, Alvaro H.
El-Tantawy, S. A.
Castillo H., Jairo E.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-01
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, the dissipative and nondissipative modulated pulses such as rogue waves (RWs) and breathers (Kuznetsov-Ma breathers and Akhmediev breathers) that can exist and propagate in several fields of sciences, for example, plasma physics, have been analyzed numerically.
For this purpose, the fluid dusty plasma equations with taking the kinematic dust viscosity into account are reduced to the linear damped nonlinear Schrödinger equation using a reductive perturbation technique.
It is known that this equation is not integrable and, accordingly, does not have analytical solution.
Thus, for modelling both dissipative RWs and breathers, the improved finite difference method is introduced for this purpose.
It is found that FDM is a good numerical technique for small time interval but for large time interval it becomes sometimes unacceptable.
Therefore, to describe these waves accurately, the new improved numerical method is considered, which is called the hybrid finite difference method and moving boundary method (FDM-MBM).
This last and updated method gives an accurate and excellent description to many physical results, as it was applied to the dust plasma results and the results were good.
American Psychological Association (APA)
Salas, Alvaro H.& El-Tantawy, S. A.& Castillo H., Jairo E.. 2020. The Hybrid Finite Difference and Moving Boundary Methods for Solving a Linear Damped Nonlinear Schrödinger Equation to Model Rogue Waves and Breathers in Plasma Physics. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1197385
Modern Language Association (MLA)
Salas, Alvaro H.…[et al.]. The Hybrid Finite Difference and Moving Boundary Methods for Solving a Linear Damped Nonlinear Schrödinger Equation to Model Rogue Waves and Breathers in Plasma Physics. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1197385
American Medical Association (AMA)
Salas, Alvaro H.& El-Tantawy, S. A.& Castillo H., Jairo E.. The Hybrid Finite Difference and Moving Boundary Methods for Solving a Linear Damped Nonlinear Schrödinger Equation to Model Rogue Waves and Breathers in Plasma Physics. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1197385
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197385