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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 172, Number 2, Pages 181–197
DOI: https://doi.org/10.4213/tmf6970 (Mi tmf6970) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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
Full-text PDF (508 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6970
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
Received: 13.03.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 172, Issue 2, Pages 1037–1051
DOI: https://doi.org/10.1007/s11232-012-0094-6
Bibliographic databases:
Document Type: Article
Language: Russian
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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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:63
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