Integrability of a generalized Ito system: The Painleve test
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, cilt.70, sa.5, ss.1165-1166, 2001 (SCI-Expanded, Scopus)
- 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.