A new integrable generalization of the Korteweg-de Vries equation

Karasu-Kalkanli, Ayse; KARASU, ATALAY; Sakovich, Anton; Sakovich, Sergei; TURHAN, REFİK

doi:10.1063/1.2953474

A new integrable generalization of the Korteweg-de Vries equation

Karasu-Kalkanli A., KARASU A., Sakovich A., Sakovich S., TURHAN R.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.49, sa.7, 2008 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 49 Sayı: 7
Basım Tarihi: 2008
Doi Numarası: 10.1063/1.2953474
Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Ankara Üniversitesi Adresli: Evet

Özet

A new integrable sixth-order nonlinear wave equation is discovered by means of the Painleve analysis, which is equivalent to the Korteweg-de Vries equation with a source. A Lax representation and an auto-Backlund transformation are found for the new equation, and its traveling wave solutions and generalized symmetries are studied. (C) 2008 American Institute of Physics.