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This article is cited in 4 scientific papers (total in 4 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
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.
DOI:
https://doi.org/10.4213/tmf1187
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Theoretical and Mathematical Physics, 1996, 108:2, 1013–1018
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Received: 16.11.1995
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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http://mi.mathnet.ru/eng/tmf1187https://doi.org/10.4213/tmf1187 http://mi.mathnet.ru/eng/tmf/v108/i2/p205
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This publication is cited in the following articles:
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Anders, I, “Asymptotic solitons of the Johnson equation”, Journal of Nonlinear Mathematical Physics, 7:3 (2000), 284
  -
Anders, I, “Soliton asymptotics of nondecaying solutions of the modified Kadomtsev-Petviashvili-I equation”, Journal of Mathematical Physics, 42:8 (2001), 3673
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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
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O. M. Kiselev, “Asymptotics of solutions of higher-dimensional integrable equations and their perturbations”, Journal of Mathematical Sciences, 138:6 (2006), 6067–6230
 
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