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.
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Original Russian Text © S.A. Kashchenko, 2016, published in Doklady Akademii Nauk, 2016, Vol. 468, No. 4, pp. 383–386.
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Kashchenko, S.A. Normal form for the KdV–Burgers equation. Dokl. Math. 93, 331–333 (2016). https://doi.org/10.1134/S1064562416030170
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DOI: https://doi.org/10.1134/S1064562416030170