Derivative non-linear Schrödinger equation: Singular manifold method and Lie symmetries
[EN] We present a generalized study and characterization of the integrability properties of the derivative non-linear Schrödinger equation in 1+1 dimensions. A Lax pair is derived for this equation by means of a Miura transformation and the singular manifold method. This procedure, together with the...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/169890 |
| Acceso en línea: | http://hdl.handle.net/10366/169890 |
| Access Level: | acceso abierto |
| Palabra clave: | Integrability Derivative non-linear Schrödinger equation Singular manifold method Lax pair Darboux transformations Rational solitons Lie symmetries Similarity reductions 1202.20 Ecuaciones Diferenciales en derivadas Parciales |
| Sumario: | [EN] We present a generalized study and characterization of the integrability properties of the derivative non-linear Schrödinger equation in 1+1 dimensions. A Lax pair is derived for this equation by means of a Miura transformation and the singular manifold method. This procedure, together with the Darboux transformations, allow us to construct a wide class of rational soliton-like solutions. Clasical Lie symmetries have also been computed and similarity reductions have been analyzed and discussed. |
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