Eigenfunctions and Very Singular Similarity Solutions of Odd-Order Nonlinear Dispersion PDEs

Abstract

Asymptotic properties of solutions of odd-order nonlinear dispersion equations are studied. The global in time similarity solutions, which lead to eigenfunctions of the rescaled ODEs, are constructed.

44 Pages, 18 Figures

References in corpus (1)

• Formation of shocks in higher-order nonlinear dispersion PDEs: nonuniqueness and nonexistence of entropy