Compatibility conditions to allow some large amplitude WKB analysis for Burger's type systems

Christophe Cheverry (1) , Mekki Houbad (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

In this article, we study some new interesting nonlinear system of partial differential equations, linked with the propagation of large amplitude oscillations in the context of a quasilinear diagonal system of hyperbolic equations.

Mots clés: WKB analysis; Burger's equations; oscillations; WKB analysis.

Domaines: Equations aux dérivées partielles [math.AP]

Christophe Cheverry, Mekki Houbad. Compatibility conditions to allow some large amplitude WKB analysis for Burger's type systems. Physica D: Nonlinear Phenomena, 2008, 237 (10-12), pp.1429-1443. ⟨hal-00148550⟩