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

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

2009-11-23

arxiv.org/abs/0911.4446v1

Mathematics

Analysis of PDEs

48 pages, 23 figures

Scientific paper

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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