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

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HAKKAEV S. A., Iliev I. D., Kirchev K.

Journal of Physics A: Mathematical and Theoretical, cilt.41, sa.8, 2008 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 41 Sayı: 8
• Basım Tarihi: 2008
• Doi Numarası: 10.1088/1751-8113/41/8/085203
• Dergi Adı: Journal of Physics A: Mathematical and Theoretical
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Trakya Üniversitesi Adresli: Hayır

Özet

We study the existence and stability of periodic travelling-wave solutions for generalized Benjamin-Bona-Mahony and Camassa-Holm equations. To prove orbital stability, we use the abstract results of Grillakis-Shatah-Strauss and the Floquet theory for periodic eigenvalue problems. © 2008 IOP Publishing Ltd.