Stability of periodic travelling shallow-water waves determined by Newton's equation

Autor: Hakkaev, Sevdzhan, Iliev, Iliya D., Kirchev, Kiril
Rok vydání: 2007
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1088/1751-8113/41/8/085203
Popis: 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.
Comment: 35 pages, no figures
Databáze: arXiv