This article is cited in 8 papers

Properties of the solitonic potentials of the heat operator

M. Boiti^a, F. Pempinelli^a, A. K. Pogrebkov<sup>b

a</sup> Dipartimento di Fisica, Università del Salento and Sezione INFN, Lecce, Italy
^b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Abstract: We study properties of the purely solitonic $\tau$-function and potential of the heat equation in detail. We describe the asymptotic behavior of the potential and establish the ray structure of this asymptotic behavior on the plane $(x_1,x_2)$ in dependence on the parameters of the potential.

Keywords: Kadomtsev–Petviashvili equation, soliton, asymptotic potential.

DOI: 10.4213/tmf6660

 English version: Theoretical and Mathematical Physics, 2011, 168:1, 865–874

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