Properties of the solitonic potentials of the heat operator

M. Boiti, F. Pempinelli, A. K. Pogrebkov

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We study properties of the purely solitonic τ-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 (x1, x2) in dependence on the parameters of the potential.

Original languageEnglish
Pages (from-to)865-874
Number of pages10
JournalTheoretical and Mathematical Physics
Volume168
Issue number1
DOIs
Publication statusPublished - Jul 2011

Keywords

  • asymptotic potential
  • Kadomtsev-Petviashvili equation
  • soliton

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