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

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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Main Author: Juan Carlos Muñoz Grajales
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/3586514
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spelling doaj-e1e17de7119f477788b2161c6e470a802021-07-02T03:16:35ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/35865143586514A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono SystemJuan Carlos Muñoz Grajales0Departamento de Matemáticas, Universidad del Valle, Calle 13 Nro. 100-00, Cali, ColombiaWe 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.http://dx.doi.org/10.1155/2018/3586514
collection DOAJ
language English
format Article
sources DOAJ
author Juan Carlos Muñoz Grajales
spellingShingle Juan Carlos Muñoz Grajales
A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System
Advances in Mathematical Physics
author_facet Juan Carlos Muñoz Grajales
author_sort Juan Carlos Muñoz Grajales
title A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System
title_short A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System
title_full A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System
title_fullStr A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System
title_full_unstemmed A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System
title_sort newton-type approach to approximate travelling wave solutions of a schrödinger-benjamin-ono system
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2018-01-01
description 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.
url http://dx.doi.org/10.1155/2018/3586514
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AT juancarlosmunozgrajales newtontypeapproachtoapproximatetravellingwavesolutionsofaschrodingerbenjaminonosystem
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