Shock waves and compactons for fifth-order nonlinear dispersion equaitons

Details Shock waves and compactons for fifth-order nonlinear dispersion equaitons Shock waves and compactons for fifth-order nonlinear dispersion equaitons

2009-02-10

arxiv.org/abs/0902.1632v1

Mathematics

Analysis of PDEs

38 pages, 17 figures

Scientific paper

Fifth-order 1D nonlinear dispersion equations are shown to admit blow-up
formation of shock waves as well as rarefaction waves. The concepts of smooth
deformations are applied to distinguish "entropy" shocks from smooth
rarefaction waves. Single point gradient catastrophe is shown to lead to
nonuniqueness after blow-up.

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