Variational Approach to Complicated Similarity Solutions of Higher-Order Nonlinear PDEs. II
arXiv:1103.2643
Abstract
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.
48 pages, 26 figures