Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Pis'ma v Zh. Èksper. Teoret. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2006, Volume 83, Issue 10, Pages 534–538 (Mi jetpl1312)  
This article is cited in 65 scientific papers (total in 65 papers)

METHODS OF THEORETICAL PHYSICS

The Cauchy Problem on the Plane for the Dispersionless Kadomtsev–Petviashvili Equation

S. V. Manakova, P. M. Santinibc

a Landau Institute for Theoretical Physics RAS
b Dipartimento di Fisica, Universitá di Roma "La Sapienza"
c Istituto Nazionale di Fisica Nucleare Sezione di Roma 1 Piazz.le Aldo Moro 2, I-00185 Roma, Italy
Full-text PDF (632 kB) Citations (65)
References:
PDF
HTML
Abstract: We construct the formal solution of the Cauchy problem for the dispersionless Kadomtsev–Petviashvili equation as application of the Inverse Scattering Transform for the vector field corresponding to a Newtonian particle in a time-dependent potential. This is in full analogy with the Cauchy problem for the Kadomtsev–Petviashvili equation, associated with the Inverse Scattering Transform of the time dependent Schrödinger operator for a quantum particle in a time-dependent potential.
Received: 10.04.2006
English version:
Journal of Experimental and Theoretical Physics Letters, 2006, Volume 83, Issue 10, Pages 462–466
DOI: https://doi.org/10.1134/S0021364006100080
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik
Language: English
Citation: S. V. Manakov, P. M. Santini, “The Cauchy Problem on the Plane for the Dispersionless Kadomtsev–Petviashvili Equation”, Pis'ma v Zh. Èksper. Teoret. Fiz., 83:10 (2006), 534–538; JETP Letters, 83:10 (2006), 462–466
Citation in format AMSBIB
\Bibitem{ManSan06}
\by S.~V.~Manakov, P.~M.~Santini
\paper The Cauchy Problem on the Plane for the Dispersionless Kadomtsev--Petviashvili Equation
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2006
\vol 83
\issue 10
\pages 534--538
\mathnet{http://mi.mathnet.ru/jetpl1312}
\transl
\jour JETP Letters
\yr 2006
\vol 83
\issue 10
\pages 462--466
\crossref{https://doi.org/10.1134/S0021364006100080}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000239170800008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746266665}
Linking options:
  • https://www.mathnet.ru/eng/jetpl1312
  • https://www.mathnet.ru/eng/jetpl/v83/i10/p534
    • This publication is cited in the following 65 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
    Statistics & downloads:
    Abstract page:260
    Full-text PDF :100
    References:50
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024