JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, vol.70, no.5, pp.1165-1166, 2001 (Peer-Reviewed Journal)
Article / Article
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Science Citation Index Expanded, Scopus
integrable systems, Painleve analysis
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.