Darboux-Bäcklund transformations and rational solutions of the painlevé IV equation
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Data
2010-03-29
Autores
Aratyn, H.
Gomes, J. F. [UNESP]
Zimerman, A. H. [UNESP]
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Resumo
Rational solutions of the Painlevé 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-Bäcklund transformations. ©2010 American Institute of Physics.
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Darboux-Bäcklund transformation, The AKNS hierarchy, The Painlevé IV equation
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AIP Conference Proceedings, v. 1212, p. 146-153.