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

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

2007-07-30

arxiv.org/abs/0707.4365v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

35 pages, no figures

Scientific paper

10.1088/1751-8113/41/8/085203

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.

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