On some nondecaying potentials and related Jost solutions for the heat conduction equation

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Potentials of the heat conduction operator constructed by means of 2 binary Backlund transformations are studied in detail. Corresponding Darboux transformations of the Jost solutions are introduced. We show that these solutions obey modified integral equations and present their analyticity properties.
LaTex, 17 pages, no figures, to appear on Inverse Problems

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/79777

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0004017
 http://arxiv.org/abs/nlin/0004017

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arXiv