Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion
Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 191-212
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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.
@article{SM_1985_50_1_a12,
author = {V. P. Maslov and G. A. Omel'yanov and V. A. Tsupin},
title = {Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion},
journal = {Sbornik. Mathematics},
pages = {191--212},
publisher = {mathdoc},
volume = {50},
number = {1},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1985_50_1_a12/}
}
TY - JOUR AU - V. P. Maslov AU - G. A. Omel'yanov AU - V. A. Tsupin TI - Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion JO - Sbornik. Mathematics PY - 1985 SP - 191 EP - 212 VL - 50 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1985_50_1_a12/ LA - en ID - SM_1985_50_1_a12 ER -
%0 Journal Article %A V. P. Maslov %A G. A. Omel'yanov %A V. A. Tsupin %T Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion %J Sbornik. Mathematics %D 1985 %P 191-212 %V 50 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1985_50_1_a12/ %G en %F SM_1985_50_1_a12
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/