The KZK type equation introduced in this Note differs from the traditional form of the KZK model known in acoustics by the assumptions on the nonlinear term. For this modified form, a global existence and uniqueness result is established for the case of non-constant coefficients. Afterwards the asymptotic behaviour of the solution of the KZK type equation with rapidly oscillating coefficients is studied. To cite this article: I. Kostin, G. Panasenko, C. R. Mecanique 334 (2006). © 2006 Académie des sciences.
Kostin, I., & Panasenko, G. (2006). Khokhlov-Zabolotskaya-Kuznetsov type equation: nonlinear acoustics in heterogeneous media. Comptes Rendus - Mecanique, 334(4), 220–224. https://doi.org/10.1016/j.crme.2006.01.010