On the Integrability of a Class of Nonlinear Dispersive Wave Equations

Authors

Rossen Ivanov, Technological University DublinFollow

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Applied mathematics

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.

DOI

https://doi.org/10.2991/jnmp.2005.12.4.2

Recommended Citation

Ivanov, R. On the Integrability of a Class of Nonlinear Dispersive Wave EquationsJournal of Nonlinear Mathematical Physics, vol. 12, no. 4, pg. 462-468. doi:10.2991/jnmp.2005.12.4.2

Funder

SFI