Integrability of a generalized Ito system: The Painleve test

Karasu-Kalkanli A., Karasu A., Sakovich S.

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, cilt.70, sa.5, ss.1165-1166, 2001 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 5
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1143/jpsj.70.1165
  • Dergi Adı: JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1165-1166
  • Anahtar Kelimeler: integrable systems, Painleve analysis
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

It is shown that a generalized Ito system of four coupled nonlinear evolution equations passes the Painleve test for integrability in five distinct cases, two of which were introduced recently by Tam et al. [H. W. Tam, X. B. Hu, D. L. Wang: J. Phys. Sec. Jpn. 68 (1999) 369]. A conjecture is formulated on integrability of a vector generalization of the Ito system.