A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System

We introduce a Newton’s iterative method to approximate periodic and nonperiodic travelling wave solutions of the Schrödinger-Benjamin-Ono system derived by M. Funakoshi and M. Oikawa. We analyze numerically the influence of the model’s parameters on these solutions and illustrate the collision of t...

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Bibliographic Details
Published in:Advances in mathematical physics 2018-01, Vol.2018 (2018), p.1-17
Main Author: Muñoz Grajales, Juan Carlos
Format: Article
Language:English
Subjects:
Applied mathematics
Gravitational waves
Iterative methods
Mathematical functions
Mathematical models
Numerical analysis
Solitary waves
Wave propagation
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Summary:We introduce a Newton’s iterative method to approximate periodic and nonperiodic travelling wave solutions of the Schrödinger-Benjamin-Ono system derived by M. Funakoshi and M. Oikawa. We analyze numerically the influence of the model’s parameters on these solutions and illustrate the collision of two unequal-amplitude solitary waves propagating with different speeds computed by using the proposed numerical scheme.
ISSN:1687-9120
1687-9139
DOI:10.1155/2018/3586514