The Lorentz - invariant deformation of the Whitham system for the non-linear Klein-Gordon equation

Abstract

We consider the deformation of the Whitham system for the non-linear Klein-Gordon equation having the Lorentz-invariant form. Using the Lagrangian formalism of the initial system we obtain the first non-trivial correction to the Whitham system in the Lorentz-invariant approach.

19 pages, Latex

References in corpus (2)

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