This article is cited in 5 papers

Extended resolvent of the heat operator with a multisoliton potential

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, RAS, Moscow, Russia

Abstract: We consider the heat operator with a general multisoliton potential and derive its extended resolvent depending on a parameter $q\in\mathbb{R}^2$. 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.

Keywords: Kadomtsev–Petviashvili equation, heat operator, extended resolvent, soliton.

Received: 13.03.2012

DOI: 10.4213/tmf6970

 English version: Theoretical and Mathematical Physics, 2012, 172:2, 1037–1051

Bibliographic databases:

• 
• 
• 
• 
• 
•