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Uspekhi Mat. Nauk, 1989, Volume 44, Issue 1(265), Pages 5–34 (Mi umn1759)  

This article is cited in 24 scientific papers (total in 24 papers)

Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systems

L. A. Kalyakin

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English version:
Russian Mathematical Surveys, 1989, 44:1, 3–42

Bibliographic databases:

UDC: 517.958.530.145.7+517.956.226
MSC: 35Q53, 41A60, 35B40
Received: 28.07.1987

Citation: L. A. Kalyakin, “Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systems”, Uspekhi Mat. Nauk, 44:1(265) (1989), 5–34; Russian Math. Surveys, 44:1 (1989), 3–42

Citation in format AMSBIB
\by L.~A.~Kalyakin
\paper Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systems
\jour Uspekhi Mat. Nauk
\yr 1989
\vol 44
\issue 1(265)
\pages 5--34
\jour Russian Math. Surveys
\yr 1989
\vol 44
\issue 1
\pages 3--42

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    2. V. P. Maslov, G. A. Omel'yanov, “Three-scale expansion of the solution of the magnetohydrodynamic equations and the Reynolds equation for a tokamak”, Theoret. and Math. Phys., 98:2 (1994), 202–211  mathnet  crossref  mathscinet  zmath  isi
    3. Guido Schneider, “Validity and Limitation of the Newell-Whitehead Equation”, Math Nachr, 176:1 (1995), 249  crossref  mathscinet  zmath  isi
    4. R D Pierce, C E Wayne, Nonlinearity, 8:5 (1995), 769  crossref  mathscinet  zmath  adsnasa  isi
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    6. Guido Schneider, “Approximation of the Korteweg–de Vries Equation by the Nonlinear Schrödinger Equation”, Journal of Differential Equations, 147:2 (1998), 333  crossref
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    20. Pius Kirrmann, Guido Schneider, Alexander Mielke, “The validity of modulation equations for extended systems with cubic nonlinearities”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 122:1-2 (2011), 85  crossref
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    22. T. V. Pavlyuk, A. V. Nesterov, “On the asymptotics of the solution to a singularly perturbed hyperbolic system of equations with several spatial variables in the critical case”, Comput. Math. Math. Phys., 54:3 (2014), 462–473  mathnet  crossref  crossref  isi  elib  elib
    23. O. M. Kiselev, “Asymptotics of an autoresonance soliton”, Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 75–84  mathnet  crossref  mathscinet  isi  elib
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