Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
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.
Recommended Citation
R. Ivanov, On the Integrability of a Class of Nonlinear Dispersive Wave Equations, Journal of Nonlinear Mathematical Physics 12, 2005, 462-468
COinS
Included in
Mathematics Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons
Publication Details
Journal of Nonlinear Mathematical Physics 12, 2005, 462-468