Third-order nonlinear dispersion PDEs: shocks, rarefaction, and blow-up waves

Details Third-order nonlinear dispersion PDEs: shocks, rarefaction, and blow-up waves Third-order nonlinear dispersion PDEs: shocks, rarefaction, and blow-up waves

2009-02-02

arxiv.org/abs/0902.0253v1

Mathematics

Analysis of PDEs

32 pages, 12 figures

Scientific paper

Various shock and rarefaction-type similarity solutions of the third-order
nonlinear dispersion equation in 1D are constructed. Blow-up of some solutions
are proved by different techniques.

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