On the Integrability of a Class of Nonlinear Dispersive Wave Equations

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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

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/114342

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0606046
 http://arxiv.org/abs/nlin/0606046
 Journal of Nonlinear Mathematical Physics vol. 12 (2005), pp 462-468

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arXiv