Variational Approach to Complicated Similarity Solutions of Higher-Order Nonlinear PDEs. II

Details Variational Approach to Complicated Similarity Solutions of Higher-Order Nonlinear PDEs. II Variational Approach to Complicated Similarity Solutions of Higher-Order Nonlinear PDEs. II

2011-03-14

arxiv.org/abs/1103.2643v1

Mathematics

Analysis of PDEs

48 pages, 26 figures

Scientific paper

Some higher-order quasilinear parabolic, hyperbolic, and nonlinear dispersion
equations are shown to admit various blow-up, extinction, and travelling wave
solutions, which reduce to variational problems admitting countable families of
compactly supported solutions.

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