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arXiv · 0707.4365

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

Sevdzhan Hakkaev·Iliya D. Iliev·Kiril Kirchev
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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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Sevdzhan Hakkaev, Iliya D. Iliev, Kiril Kirchev. 2007-07-30. Stability of periodic travelling shallow-water waves determined by Newton's equation. https://doi.org/10.1088/1751-8113%2F41%2F8%2F085203

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