Loading [MathJax]/jax/output/CommonHTML/jax.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 108, Number 2, Pages 205–211
DOI: https://doi.org/10.4213/tmf1187 (Mi tmf1187) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Uniform asymptotic formulas for the curved solitons of the Kadomtsev–Petviashvili equations

D. Yu. Ostapenko, A. P. Pal-Val, E. Ya. Khruslov

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine
Full-text PDF (205 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf1187
Abstract: The special class of solutions of the Kadomtsev–Petviashvili equations is investigated in the limit t→∞. It's proved that these solutions split into infinite series of curved solitons in the neighbourhood of the leading edge. Parameters of these solitons depend on the variable Y=y/t. Uniform in Y asymptotic formulas are obtained.
Received: 16.11.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 108, Issue 2, Pages 1013–1018
DOI: https://doi.org/10.1007/BF02070672
Bibliographic databases:
Language: Russian
Citation: D. Yu. Ostapenko, A. P. Pal-Val, E. Ya. Khruslov, “Uniform asymptotic formulas for the curved solitons of the Kadomtsev–Petviashvili equations”, TMF, 108:2 (1996), 205–211; Theoret. and Math. Phys., 108:2 (1996), 1013–1018
Citation in format AMSBIB
\Bibitem{OstPalKhr96}
\by D.~Yu.~Ostapenko, A.~P.~Pal-Val, E.~Ya.~Khruslov
\paper Uniform asymptotic formulas for the curved solitons of the Kadomtsev--Petviashvili equations
\jour TMF
\yr 1996
\vol 108
\issue 2
\pages 205--211
\mathnet{http://mi.mathnet.ru/tmf1187}
\crossref{https://doi.org/10.4213/tmf1187}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1430071}
\zmath{https://zbmath.org/?q=an:0935.35138}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 108
\issue 2
\pages 1013--1018
\crossref{https://doi.org/10.1007/BF02070672}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996XA75100003}
Linking options:
  • https://www.mathnet.ru/eng/tmf1187
  • https://doi.org/10.4213/tmf1187
  • https://www.mathnet.ru/eng/tmf/v108/i2/p205
    • This publication is cited in the following 6 articles:
    1. O. M. Kiselev, “Higher-dimensional nonlinear integrable equations: asymptotics of solutions and perturbations”, J Math Sci, 125:5 (2005), 689  crossref
    2. O. M. Kiselev, “Higher-dimensional nonlinear integrable equations: Asymptotics of solutions and perturbations”, J Math Sci, 125:5 (2005), 689  crossref
    3. O. M. Kiselev, “Asymptotics of solutions of higher-dimensional integrable equations and their perturbations”, Journal of Mathematical Sciences, 138:6 (2006), 6067–6230  mathnet  crossref  mathscinet  zmath  elib
    4. de Monvel, AB, “Soliton asymptotics of rear part of non-localized solutions of the Kadomtsev-Petviashvili equation”, Journal of Nonlinear Mathematical Physics, 9:1 (2002), 58  crossref  mathscinet  zmath  adsnasa  isi
    5. Anders, I, “Soliton asymptotics of nondecaying solutions of the modified Kadomtsev-Petviashvili-I equation”, Journal of Mathematical Physics, 42:8 (2001), 3673  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    6. Anders, I, “Asymptotic solitons of the Johnson equation”, Journal of Nonlinear Mathematical Physics, 7:3 (2000), 284  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    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
    Statistics & downloads:
    Abstract page:466
    Full-text PDF :210
    References:62
    First page:1
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025