Email this article Normal form for the KdV–Burgers equation
- Authors: Kashchenko S.A.1,2
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Affiliations:
- Yaroslavl State University
- National Research Nuclear University “MEPhI,”
- Issue: Vol 93, No 3 (2016)
- Pages: 331-333
- Section: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/223922
- DOI: https://doi.org/10.1134/S1064562416030170
- ID: 223922
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Abstract
The local dynamics of the KdV–Burgers equation with periodic boundary conditions is studied. A special nonlinear partial differential equation is derived that plays the role of a normal form, i.e., in the first approximation, it determines the behavior of all solutions of the original boundary value problem with initial conditions from a sufficiently small neighborhood of equilibrium.
About the authors
S. A. Kashchenko
Yaroslavl State University; National Research Nuclear University “MEPhI,”
Author for correspondence.
Email: kasch@uniyar.ac.ru
Russian Federation, ul. Sovetskaya 14, Yaroslavl, 150000; Kashirskoe sh. 31, Moscow, 115409
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