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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 109, Number 2, Pages 163–174
DOI: https://doi.org/10.4213/tmf1219 (Mi tmf1219) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On a solution of the Cauchy problem for the Boiti–Leon–Pempinelli equation

A. K. Pogrebkova, T. I. Garagashb

a Steklov Mathematical Institute, Russian Academy of Sciences
b Landau Institute for Theoretical Physics, Centre for Non-linear Studies
Full-text PDF (233 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf1219
Abstract: Cauchy problem for the 2+1-dimensional nonlinear Boiti–Leon–Pempinelli (BLP) equation in the framework of the Inverse Problem Method is considered. We derive evolution equations for the resolvent, Jost solutions and Spectral Data of the two-dimensional differential Klein–Gordon operator with variable coefficients that are generated by the considered BLP system of equations. Additional conditions on the Spectral Data that guarantee stability of the solutions of the Cauchy problem, are obtained. We present a recursion procedure for construction of polynomial integrals of motion and generating function of these integrals in terms of Spectral Data.
Received: 14.09.1996
English version:
Theoretical and Mathematical Physics, 1996, Volume 109, Issue 2, Pages 1369–1378
DOI: https://doi.org/10.1007/BF02072003
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Pogrebkov, T. I. Garagash, “On a solution of the Cauchy problem for the Boiti–Leon–Pempinelli equation”, TMF, 109:2 (1996), 163–174; Theoret. and Math. Phys., 109:2 (1996), 1369–1378
Citation in format AMSBIB
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\by A.~K.~Pogrebkov, T.~I.~Garagash
\paper On a~solution of the Cauchy problem for the Boiti--Leon--Pempinelli equation
\jour TMF
\yr 1996
\vol 109
\issue 2
\pages 163--174
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\crossref{https://doi.org/10.4213/tmf1219}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1472466}
\zmath{https://zbmath.org/?q=an:0941.35091}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 109
\issue 2
\pages 1369--1378
\crossref{https://doi.org/10.1007/BF02072003}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996XM63500001}
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  • https://www.mathnet.ru/eng/tmf1219
  • https://doi.org/10.4213/tmf1219
  • https://www.mathnet.ru/eng/tmf/v109/i2/p163
    • This publication is cited in the following 3 articles:
    1. Diana S. Maltseva, Roman O. Popovych, “Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti–Leon–Pempinelli system”, Physica D: Nonlinear Phenomena, 460 (2024), 134081  crossref
    2. Pogrebkov A.K., “Kadomtsev-Petviashvili Hierarchy: Negative Times”, Mathematics, 9:16 (2021), 1988  crossref  isi
    3. A. K. Pogrebkov, “Commutator identities on associative algebras and the integrability of nonlinear evolution equations”, Theoret. and Math. Phys., 154:3 (2008), 405–417  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    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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