Geometric finite difference schemes for the generalized hyperelastic-rod wave equation
Journal article, 2011
Geometric integrators are presented for a class of nonlinear dispersive equations which includes the CamassaHolm equation, the BBM equation and the hyperelastic-rod wave equation. One group of schemes is designed to preserve a global property of the equations: the conservation of energy; while the other one preserves a more local feature of the equations: the multi-symplecticity.
Multi-symplecticity
CamassaHolm equation
BBM equation
Conservative schemes
Hyperelastic-rod wave
Discrete gradients
Author
David Cohen
University of Basel
Xavier Raynaud
University of Oslo
Journal of Computational and Applied Mathematics
0377-0427 (ISSN)
Vol. 235 8 1925-1940Subject Categories
Mathematics
DOI
10.1016/j.cam.2010.09.015