This article is cited in 27 papers

Inheritance of KdV symmetries under Whitham averaging and hydrodynamic symmetries of the Witham equations

V. R. Kudashev, S. E. Sharapov


Abstract: Explicit expressions that demonstrate the inheritance of some symmetries of the KdV equations by the Whitham equations for cnoidal KdV waves are obtained. A class of symmetries of Whitham equations of special form is found and described. Explicit expressions that describe a series of self-similar solutions of Whitham equations are obtained.

Received: 03.09.1990

 English version: Theoretical and Mathematical Physics, 1991, 87:1, 358–363

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