Darboux-Backlund Derivation of Rational Solutions of the Painleve IV Equation
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2009
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| _version_ | 1866913691503427584 |
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| author | Aratyn, H. Gomes, J. F. Zimerman, A. H. |
| author_facet | Aratyn, H. Gomes, J. F. Zimerman, A. H. |
| contents | Rational solutions of the Painleve IV equation are constructed in the setting of pseudo-differential Lax formalism describing AKNS hierarchy subject to the additional non-isospectral Virasoro symmetry constraint. Convenient Wronskian representations for rational solutions are obtained by successive actions of the Darboux-Backlund transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0903_3421 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Darboux-Backlund Derivation of Rational Solutions of the Painleve IV Equation Aratyn, H. Gomes, J. F. Zimerman, A. H. Exactly Solvable and Integrable Systems Mathematical Physics Rational solutions of the Painleve IV equation are constructed in the setting of pseudo-differential Lax formalism describing AKNS hierarchy subject to the additional non-isospectral Virasoro symmetry constraint. Convenient Wronskian representations for rational solutions are obtained by successive actions of the Darboux-Backlund transformations. |
| title | Darboux-Backlund Derivation of Rational Solutions of the Painleve IV Equation |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/0903.3421 |