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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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/3586514 |
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| _version_ | 1850165835615698944 |
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| author | Juan Carlos Muñoz Grajales |
| author_facet | Juan Carlos Muñoz Grajales |
| author_sort | Juan Carlos Muñoz Grajales |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-e1e17de7119f477788b2161c6e470a80 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e1e17de7119f477788b2161c6e470a802025-08-20T02:21:38ZengWileyAdvances 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 |
| spellingShingle | Juan Carlos Muñoz Grajales A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System Advances in Mathematical Physics |
| title | 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_short | 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 schrodinger benjamin ono system |
| url | http://dx.doi.org/10.1155/2018/3586514 |
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