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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 2, Pages 272–288
DOI: https://doi.org/10.4213/tmf8982 (Mi tmf8982) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Cauchy–Jost function and hierarchy of integrable equations

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

a EINSTEIN Consortium, Lecce, Italy
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (447 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8982
Abstract: We describe the properties of the Cauchy–Jost (also known as Cauchy–Baker–Akhiezer) function of the Kadomtsev–Petviashvili-II equation. Using the $\bar\partial$-method, we show that for this function, all equations of the Kadomtsev–Petviashvili-II hierarchy are given in a compact and explicit form, including equations for the Cauchy–Jost function itself, time evolutions of the Jost solutions, and evolutions of the potential of the heat equation.
Keywords: Cauchy–Jost function, KP-II equation, inverse problem.
Funding agency Grant number
Russian Science Foundation 14-50-00005
Sections 3, 4 and 5 of the article are performed by A. K. Pogrebkov, sections 1, 2 and 6 are performed by M. Boiti and F. Pempinelli. Investigation of A. K. Pogrebkov is carried out at the expense of the Russian Science Foundation (grant no. 14-50-00005) at Steklov Mathematical Institute of Russian Academy of Sciences.
Received: 30.04.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 2, Pages 1599–1613
DOI: https://doi.org/10.1007/s11232-015-0367-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Cauchy–Jost function and hierarchy of integrable equations”, TMF, 185:2 (2015), 272–288; Theoret. and Math. Phys., 185:2 (2015), 1599–1613
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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