Numeric-Analytical Study of the Breather Type Solution on the Correctness Boundary

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Asymptotics when t →∞ for the Cauchy problem solution of the equation Utt = Uxx + i2Uttx + Uttxx with discontinuous initial data are proved. The found asymptotic formulae are in a good agreement with results of numerical experiments. Stability of the numerical methods used is studied as well. At the beginning we review other results in studying nonstandard linear equations arising in averaging equations describing wave propagation in periodic stratified media.

S I Serdyukova

Joint Institute for Nuclear Research

Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research


Abstract - 63

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Copyright (c) 2010 Сердюкова С.И.

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