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arXiv · 0911.4446

Schock waves and compactons for fifth-order nonlinear dispersion equations. II

V. A. Galaktionov
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Abstract

It is shown that fifth-order nonlinear dispersion equations from compacton theory admit shock and rarefaction waves. A self-similar gradient blow-up is shown to admit infinitely many similarity extensions beyond blow-up time, meaning principal nonuniqueness of solutions of the Cauchy problem after occurring such singularities.

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V. A. Galaktionov. 2009-11-23. Schock waves and compactons for fifth-order nonlinear dispersion equations. II. https://arxiv.org/abs/0911.4446

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