Rational KdV potentials and differential galois theory
In this work, using differential Galois theory, we study the spectral problem of the one-dimensional Schrödinger equation for rational time dependent KdV potentials. In particular, we compute the fundamental matrices of the linear systems associated to the Schrödinger equation. Furthermore we prove...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/691483 |
| Acceso en línea: | http://hdl.handle.net/10486/691483 https://dx.doi.org/10.3842/SIGMA.2019.047 |
| Access Level: | acceso abierto |
| Palabra clave: | Darboux transformations Differential Galois theory KdV hierarchy Rational solitons Schrödinger operator Spectral curves Matemáticas |
| Sumario: | In this work, using differential Galois theory, we study the spectral problem of the one-dimensional Schrödinger equation for rational time dependent KdV potentials. In particular, we compute the fundamental matrices of the linear systems associated to the Schrödinger equation. Furthermore we prove the invariance of the Galois groups with respect to time, to generic values of the spectral parameter and to Darboux transformations |
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