A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
[EN] In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation. This modification yields the right Lax pair and allows us to implement binary Dar...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/169888 |
| Acceso en línea: | http://hdl.handle.net/10366/169888 |
| Access Level: | acceso abierto |
| Palabra clave: | Integrability Complex mKdV equation Singular Manifold Method Lax pair Derboux transformations Soliton solutions 1202.20 Ecuaciones Diferenciales en derivadas Parciales |
| Sumario: | [EN] In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation. This modification yields the right Lax pair and allows us to implement binary Darboux transformations, which can be used to construct an iterative method to obtain exact solutions |
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