Cauchy–Jost function and hierarchy of integrable equations

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

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We describe the properties of the Cauchy–Jost (also known as Cauchy–Baker–Akhiezer) function of the Kadomtsev–Petviashvili-II equation. Using the (Formula Presented)-method, we show that for this function, all equations of the Kadomtsev–Petviashvili-II hierarchy are given in a compact and explicit form, including equations for the Cauchy–Jost function itself, time evolutions of the Jost solutions, and evolutions of the potential of the heat equation.

Original languageEnglish
Pages (from-to)1599-1613
Number of pages15
JournalTheoretical and Mathematical Physics
Volume185
Issue number2
DOIs
Publication statusPublished - 1 Nov 2015

Keywords

  • Cauchy–Jost function
  • inverse problem
  • KP-II equation

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