Stability of periodic travelling shallow-water waves determined by Newton's equation
classification
🌊 nlin.SI
keywords
periodicstabilityabstractbenjamin-bona-mahonycamassa-holmdeterminedeigenvalueequation
read the original 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.
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