Extended resolvent of the heat operator with a multisoliton potential

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

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We consider the heat operator with a general multisoliton potential and derive its extended resolvent depending on a parameter q ∈ ℝ 2. We show that it is bounded in all variables and find its singularities in q. We introduce the Green's functions and study their properties in detail.

Original languageEnglish
Pages (from-to)1037-1051
Number of pages15
JournalTheoretical and Mathematical Physics
Issue number2
Publication statusPublished - Aug 2012


  • extended resolvent
  • heat operator
  • Kadomtsev-Petviashvili equation
  • soliton


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