Journal
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
Volume 12, Issue 4, Pages 462-468Publisher
TAYLOR & FRANCIS LTD
DOI: 10.2991/jnmp.2005.12.4.2
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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.
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