Stability of periodic travelling shallow-water waves determined by Newton's equation
arXiv:0707.4365 · doi:10.1088/1751-8113/41/8/085203
Abstract
We study the existence and stability of periodic travelling-wave solutions for generalized Benjamin-Bona-Mahony and Camassa-Holm equations. To prove stability, we use the abstract results of Grillakis-Shatah-Strauss and the Floquet theory for periodic eigenvalue problems.
35 pages, no figures