Karasu-Kalkanli, Ayşe; Karasu, Atalay; Sakovich, Sergei Yu. Integrability of a generalized Ito system: the Painlevé test. (English) Zbl 1058.35532 J. Phys. Soc. Japan 70, No. 5, 1165-1166 (2001). Summary: It is shown that a generalized Ito system of four coupled nonlinear evolution equations passes the Painlevé test for integrability in five distinct cases, two of which were introduced recently by Tam et al. [H. W. Tam, X. B. Hu and D. L. Wang, J. Phys. Soc. Japan 68, 369–379 (1999; Zbl 0944.35007)]. A conjecture is formulated on integrability of a vector generalization of the Ito system. Cited in 5 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) Citations:Zbl 0944.34007; Zbl 0944.35007 PDFBibTeX XMLCite \textit{A. Karasu-Kalkanli} et al., J. Phys. Soc. Japan 70, No. 5, 1165--1166 (2001; Zbl 1058.35532) Full Text: DOI arXiv