The deformations of Whitham systems and Lagrangian formalism

Abstract

We consider the Lagrangian formalism of the deformations of Whitham systems having Dubrovin-Zhang form. As an example the case of modulated one-phase solutions of the non-linear "V-Gordon" equation is considered.

24 pages, Latex, 2 figures

References in corpus (2)

• On Hamiltonian perturbations of hyperbolic systems of conservation laws
• On the Quasitriviality of Deformations of Bihamiltonian Structures of Hydrodynamic Type

Cited by in corpus (2)

• The deformation of the Whitham systems in the almost linear case
• The Lorentz - invariant deformation of the Whitham system for the non-linear Klein-Gordon equation