Integrability Analysis of a Two-Component Burgers-Type Hierarchy

Blackmore, D.; PRYKARPATSKY, A.; ÖZÇAĞ, EMİN; SOLTANOV, KAMAL

doi:10.1007/s11253-015-1072-6

Integrability Analysis of a Two-Component Burgers-Type Hierarchy

Blackmore D., PRYKARPATSKY A. K., ÖZÇAĞ E., SOLTANOV K.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.67, sa.2, ss.167-185, 2015 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 67 Sayı: 2
Basım Tarihi: 2015
Doi Numarası: 10.1007/s11253-015-1072-6
Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.167-185
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Hacettepe Üniversitesi Adresli: Evet

Özet

The Lax integrability of a two-component polynomial Burgers-type dynamical system is analyzed by using a differential-algebraic approach. Its linear adjoint matrix Lax representation is constructed. A related recursive operator and an infinite hierarchy of nonlinear Lax integrable dynamical systems of the Burgers-Korteweg-de-Vries type are obtained by the gradient-holonomic technique. The corresponding Lax representations are presented.