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

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Abstract


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.

About the authors

S I Serdyukova

Joint Institute for Nuclear Research

Email: sis@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

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Copyright (c) 2010 Сердюкова С.И.

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