Normal form for the KdV–Burgers equation


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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.

作者简介

S. Kashchenko

Yaroslavl State University; National Research Nuclear University “MEPhI,”

编辑信件的主要联系方式.
Email: kasch@uniyar.ac.ru
俄罗斯联邦, ul. Sovetskaya 14, Yaroslavl, 150000; Kashirskoe sh. 31, Moscow, 115409

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