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.

arXiv comment44 Pages, 18 Figures

References in corpus (1)

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