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On the Integrability of a Class of Nonlinear Dispersive Wave Equations

Rossen I. Ivanov
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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.

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Rossen I. Ivanov. 2006-06-15. On the Integrability of a Class of Nonlinear Dispersive Wave Equations. https://arxiv.org/abs/nlin/0606046

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