On the Integrability of a Class of Nonlinear Dispersive Wave Equations

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.

8 pages

References in corpus (1)

• An integrable shallow water equation with peaked solitons