Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation
In the presented paper, a generalized nonlinear Schrodinger equation without delay convolution kernel and with special delay convolution kernel is investigated. By using the geometric singular perturbation theory, the existence of traveling wave fronts is proved. Firstly, we show that such traveling...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/9638150 |
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| _version_ | 1850172661883207680 |
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| author | Yuanhua Lin Liping He |
| author_facet | Yuanhua Lin Liping He |
| author_sort | Yuanhua Lin |
| collection | DOAJ |
| description | In the presented paper, a generalized nonlinear Schrodinger equation without delay convolution kernel and with special delay convolution kernel is investigated. By using the geometric singular perturbation theory, the existence of traveling wave fronts is proved. Firstly, we show that such traveling wave fronts exist without delay by non-Hamiltonian qualitative analysis. Then, for the generalized nonlinear Schrodinger equation with a special local strong delay convolution kernel, the desired heteroclinic orbit is obtained by using the Fredholm theory. |
| format | Article |
| id | doaj-art-cda857c30bb24f4eb64d8ca5ebb776c0 |
| institution | OA Journals |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-cda857c30bb24f4eb64d8ca5ebb776c02025-08-20T02:20:02ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/9638150Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger EquationYuanhua Lin0Liping He1School of Mathematics and PhysicsChina-ASEAN Institute of StatisticsIn the presented paper, a generalized nonlinear Schrodinger equation without delay convolution kernel and with special delay convolution kernel is investigated. By using the geometric singular perturbation theory, the existence of traveling wave fronts is proved. Firstly, we show that such traveling wave fronts exist without delay by non-Hamiltonian qualitative analysis. Then, for the generalized nonlinear Schrodinger equation with a special local strong delay convolution kernel, the desired heteroclinic orbit is obtained by using the Fredholm theory.http://dx.doi.org/10.1155/2022/9638150 |
| spellingShingle | Yuanhua Lin Liping He Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation Advances in Mathematical Physics |
| title | Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation |
| title_full | Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation |
| title_fullStr | Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation |
| title_full_unstemmed | Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation |
| title_short | Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation |
| title_sort | existence of traveling wave fronts for a generalized nonlinear schrodinger equation |
| url | http://dx.doi.org/10.1155/2022/9638150 |
| work_keys_str_mv | AT yuanhualin existenceoftravelingwavefrontsforageneralizednonlinearschrodingerequation AT lipinghe existenceoftravelingwavefrontsforageneralizednonlinearschrodingerequation |