English

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

Analysis of PDEs 2010-11-08 v1

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.

Keywords

Cite

@article{arxiv.1011.1449,
  title  = {Eigenfunctions and Very Singular Similarity Solutions of Odd-Order Nonlinear Dispersion PDEs},
  author = {R. S. Fernandes and V. A. Galaktionov},
  journal= {arXiv preprint arXiv:1011.1449},
  year   = {2010}
}

Comments

44 Pages, 18 Figures