On the Integrability of a Class of Nonlinear Dispersive Wave Equations

Details On the Integrability of a Class of Nonlinear Dispersive Wave Equations On the Integrability of a Class of Nonlinear Dispersive Wave Equations

2006-06-15

arxiv.org/abs/nlin/0606046v1

Journal of Nonlinear Mathematical Physics vol. 12 (2005), pp 462-468

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages

Scientific paper

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.

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