Stability of peakons for an integrable shallow water equation

HAKKAEV, SEVDZHAN

doi:10.1016/j.physleta.2006.01.033

Stability of peakons for an integrable shallow water equation

Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.354, sa.1-2, ss.137-144, 2006 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 354 Sayı: 1-2
Basım Tarihi: 2006
Doi Numarası: 10.1016/j.physleta.2006.01.033
Dergi Adı: Physics Letters, Section A: General, Atomic and Solid State Physics
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.137-144
Anahtar Kelimeler: Blow-up, Integrable equation, Solitary waves
Trakya Üniversitesi Adresli: Evet

Özet

In this Letter an integrable shallow water equation derived by Dullin, Gottwald and Holm is investigated. Analogous to the Camassa-Holm equation, this equation possesses the blow-up phenomenon. The orbital stability of the peaked solitary waves is also proved. © 2006 Elsevier B.V. All rights reserved.