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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)
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DOI: https://doi.org/10.4213/tmf1187
Abstract: The special class of solutions of the Kadomtsev–Petviashvili equations is investigated in the limit $t\to \infty$. 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
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\paper Uniform asymptotic formulas for the curved solitons of the Kadomtsev--Petviashvili equations
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\vol 108
\issue 2
\pages 205--211
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\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 108
\issue 2
\pages 1013--1018
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    • This publication is cited in the following 6 articles:
    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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