GALILEAN SYMMETRY INVARIANT SOLUTIONS TO THE KDV-BURGERS EQUATION AND NONLINEAR SUPERPOSITION OF SHOCK WAVES

A description of the Galilean symmetry invariant solutions to the KdV-Burgers equation is reduced to studying of phase trajectories of the corresponding ODE depending on a parameter (the velocity of a shock wave propagation). Exact invariant solutions are simple shock waves that become separatrixes...

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Bibliografiske detaljer
Main Authors: Y. I. Dementyev, A. V. Samokhin
Format: Artigo
Sprog:Russo
Udgivet: Moscow State Technical University of Civil Aviation 2016-12-01
Serier:Naučnyj Vestnik MGTU GA
Fag:
galilean symmetry invariant solutions
kdv-burgers equation
nonlinear superposition of shock waves
Online adgang:https://avia.mstuca.ru/jour/article/view/850
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