On the Integrability of a Class of Nonlinear Dispersive Wave Equations
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We investigate the integrability of a class of 1+1 dimensional models describing nonlinear dispersive waves in continuous media, e.g. cylindrical compressible hyperelastic rods, shallow water waves, etc. The only completely integrable cases coincide with the Camassa-Holm and Degasperis-Procesi equations.
Keywords
Cite
@article{arxiv.nlin/0606046,
title = {On the Integrability of a Class of Nonlinear Dispersive Wave Equations},
author = {Rossen I. Ivanov},
journal= {arXiv preprint arXiv:nlin/0606046},
year = {2007}
}
Comments
8 pages