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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Veröffentlicht in:	Advances in Mathematical Physics 2018-01, Vol.2018 (2018), p.1-17
1. Verfasser:	Grajales, Juan Carlos Munoz
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applied mathematics Gravitational waves Iterative methods Iterative methods (Mathematics) Mathematical functions Mathematical models Numerical analysis Solitary waves Solitons Wave propagation
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Beschreibung
Zusammenfassung:	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