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.

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