Geodesic
Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion
Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 191-212 Cet article a éte moissonné depuis la source Math-Net.Ru

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Asymptotic soliton-type solutions of the Whitham and Boussinesq equations and an asymptotic solution of shock-wave type of the Toda lattice with variable coefficients in the case of small dispersion are constructed. The solutions represent a “distorted” solitary wave (a smoothed shock wave) with amplitude and speed of motion which depend on time, propagating on a smooth “background”. Bibliography: 27 titles. 
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     title = {Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion},
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V. P. Maslov; G. A. Omel'yanov; V. A. Tsupin. Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion. Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 191-212. http://geodesic.mathdoc.fr/item/SM_1985_50_1_a12/

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