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TMF, 2012, Volume 172, Number 2, Pages 181–197 (Mi tmf6970)  

This article is cited in 1 scientific paper (total in 1 paper)

Extended resolvent of the heat operator with a multisoliton potential

M. Boitia, F. Pempinellia, A. K. Pogrebkovb

a 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

Funding Agency Grant Number
Russian Foundation for Basic Research 11-01-00440
Ministry of Education and Science of the Russian Federation НШ-4612.2012.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Instituto Nazionale di Fisica Nucleare
Italian Ministry of Education, University and Research PRIN 2008


DOI: https://doi.org/10.4213/tmf6970

Full text: PDF file (508 kB)
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English version:
Theoretical and Mathematical Physics, 2012, 172:2, 1037–1051

Bibliographic databases:

Document Type: Article
Received: 13.03.2012

Citation: M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Extended resolvent of the heat operator with a multisoliton potential”, TMF, 172:2 (2012), 181–197; Theoret. and Math. Phys., 172:2 (2012), 1037–1051

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. K. Pogrebkov, “Hirota difference equation: Inverse scattering transform, Darboux transformation, and solitons”, Theoret. and Math. Phys., 181:3 (2014), 1585–1598  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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