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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 1999 Volume 11, Number 12, Pages 67–76 (Mi mm1192)

This article is cited in 1 paper

Mathematical models and computer experiment

Nonlinear dynamics of solitary plane waves in ice crystal

O. I. Savina

Russian State University of Trade and Economics

Abstract: The dynamics of solitary plane waves in the $I_h$ ice crystal has been investigated numerically. A wave profile has been found by using the pseudospectral method that allows one to obtain solitary wave solutions of narrow profile. The wave properties are shown to depend essentially on the direction of wave propagation. The solitary wave possesses the soliton properties (it has a supersonic velocity interval propagating with a permanent shape and speed) during its motion along the a crystal axis. The wave propagation along other crystal axes is always accompanied by phonon radiation that becomes infinitesimally small near the sound velocity.

Received: 11.12.1998



© Steklov Math. Inst. of RAS, 2026