Geodesic
The Lorentz-Invariant Deformation of the Whitham System for the Nonlinear Klein--Gordon Equation
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 2, pp. 28-43

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We consider a deformation of the Whitham system for the nonlinear Klein–Gordon equation. This deformation has a Lorentz-invariant form. Using the Lagrangian formalism of the original system, we obtain the first nontrivial correction to the Whitham system in the Lorentz-invariant approach.
Keywords: asymptotic method, slow modulation. 
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     author = {A. Ya. Maltsev},
     title = {The {Lorentz-Invariant} {Deformation} of the {Whitham} {System} for the {Nonlinear} {Klein--Gordon} {Equation}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     url = {http://geodesic.mathdoc.fr/item/FAA_2008_42_2_a4/}
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A. Ya. Maltsev. The Lorentz-Invariant Deformation of the Whitham System for the Nonlinear Klein--Gordon Equation. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 2, pp. 28-43. http://geodesic.mathdoc.fr/item/FAA_2008_42_2_a4/