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Scientific session of the Steklov Mathematical Institute dedicated to the results of 2014
November 12, 2014 14:45–15:00, Moscow, Steklov Mathematical Institute, Conference Hall (8 Gubkina)
 


IST of KPII equation for perturbed multisoliton solutions

A. K. Pogrebkov
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A. K. Pogrebkov
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Abstract: The Direct and the Inverse Scattering Problems for the heat operator with a potential being a perturbation of an arbitrary $N$ soliton potential are formulated. We introduce Jost solutions and spectral data and present their properties. Then, giving the time evolution of the spectral data, the initial value problem of the Kadomtsev–Petviashvili II equation for a solution describing $N$ solitons perturbed by a generic smooth fast decaying potential is linearized.

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