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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 1, Pages 13–23
DOI: https://doi.org/10.4213/tmf6660 (Mi tmf6660) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Properties of the solitonic potentials of the heat operator

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

a Dipartimento di Fisica, Università del Salento and Sezione INFN, Lecce, Italy
b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (446 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf6660
Abstract: We study properties of the purely solitonic $\tau$-function and potential of the heat equation in detail. We describe the asymptotic behavior of the potential and establish the ray structure of this asymptotic behavior on the plane $(x_1,x_2)$ in dependence on the parameters of the potential.
Keywords: Kadomtsev–Petviashvili equation, soliton, asymptotic potential.
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 1, Pages 865–874
DOI: https://doi.org/10.1007/s11232-011-0070-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Properties of the solitonic potentials of the heat operator”, TMF, 168:1 (2011), 13–23; Theoret. and Math. Phys., 168:1 (2011), 865–874
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :188
    References:104
    First page:17
     
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