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

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

2000-04-10

arxiv.org/abs/nlin/0004017v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTex, 17 pages, no figures, to appear on Inverse Problems

Scientific paper

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.

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