Vector Solitons of a Coupled Schrödinger System with Variable Coefficients
We show the existence of waveforms of finite-energy (vector solitons) for a coupled nonlinear Schrödinger system with inhomogeneous coefficients. Furthermore, some of these solutions are approximated using a Newton-type iteration, combined with a collocation-spectral strategy to discretize the corre...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/5787508 |
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| _version_ | 1832568447822725120 |
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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 show the existence of waveforms of finite-energy (vector solitons) for a coupled nonlinear Schrödinger system with inhomogeneous coefficients. Furthermore, some of these solutions are approximated using a Newton-type iteration, combined with a collocation-spectral strategy to discretize the corresponding soliton equations. Some numerical simulations concerned with analysis of a collision of two oncoming vector solitons of the system are also performed. |
| format | Article |
| id | doaj-art-9e88f9b8b89a46d9b42a76269bea6576 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9e88f9b8b89a46d9b42a76269bea65762025-02-03T00:59:00ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/57875085787508Vector Solitons of a Coupled Schrödinger System with Variable CoefficientsJuan Carlos Muñoz Grajales0Departamento de Matemáticas, Universidad del Valle, Calle 13, No. 100-00, Cali, ColombiaWe show the existence of waveforms of finite-energy (vector solitons) for a coupled nonlinear Schrödinger system with inhomogeneous coefficients. Furthermore, some of these solutions are approximated using a Newton-type iteration, combined with a collocation-spectral strategy to discretize the corresponding soliton equations. Some numerical simulations concerned with analysis of a collision of two oncoming vector solitons of the system are also performed.http://dx.doi.org/10.1155/2016/5787508 |
| spellingShingle | Juan Carlos Muñoz Grajales Vector Solitons of a Coupled Schrödinger System with Variable Coefficients Advances in Mathematical Physics |
| title | Vector Solitons of a Coupled Schrödinger System with Variable Coefficients |
| title_full | Vector Solitons of a Coupled Schrödinger System with Variable Coefficients |
| title_fullStr | Vector Solitons of a Coupled Schrödinger System with Variable Coefficients |
| title_full_unstemmed | Vector Solitons of a Coupled Schrödinger System with Variable Coefficients |
| title_short | Vector Solitons of a Coupled Schrödinger System with Variable Coefficients |
| title_sort | vector solitons of a coupled schrodinger system with variable coefficients |
| url | http://dx.doi.org/10.1155/2016/5787508 |
| work_keys_str_mv | AT juancarlosmunozgrajales vectorsolitonsofacoupledschrodingersystemwithvariablecoefficients |