DISPERSIVE RAREFACTION WAVE WITH A LARGE INITIAL GRADIENT

DISPERSIVE RAREFACTION WAVE WITH A LARGE INITIAL GRADIENT

Consider the Cauchy problem for the Korteweg-de Vries equation with a small parameter at the highest derivative and a large gradient of the initial function. Numerical and analytical methods show that the obtained using renormalization formal asymptotics, corresponding to rarefaction waves, is an as...

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Bibliographic Details
Main Authors: Alexander E. Elbert, Sergey V. Zakharov
Format: Article
Language:English
Published: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. 2017-07-01
Series:Ural Mathematical Journal
Subjects:
The Korteweg > de Vries
Cauchy problem
Asymptotic behavior
Rarefaction wave
Online Access:https://umjuran.ru/index.php/umj/article/view/68

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