The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
Constantin, Adrian ; Lannes, David
HAL, hal-00170213 / Harvested from HAL
Text on HAL
In recent years two nonlinear dispersive partial differential equations have attracted a lot of attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water waves over a flat bed. The equations capture stronger nonlinear effects than the classical nonlinear dispersive Benjamin-Bona-Mahoney and Korteweg-de Vries equations. In particular, they accomodate wave breaking phenomena.
Publié le : 2007-09-06
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],  [PHYS.PHYS.PHYS-AO-PH]Physics [physics]/Physics [physics]/Atmospheric and Oceanic Physics [physics.ao-ph] 
@article{hal-00170213,
     author = {Constantin, Adrian and Lannes, David},
     title = {The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations},
     journal = {HAL},
     volume = {2007},
     number = {0},
     year = {2007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00170213}
}

Constantin, Adrian; Lannes, David. The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. HAL, Tome 2007 (2007) no. 0, . http://gdmltest.u-ga.fr/item/hal-00170213/