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Integrability of a Generalized Ito System: The Painlevé Test

2001; Physical Society of Japan; Volume: 70; Issue: 5 Linguagem: Inglês

10.1143/jpsj.70.1165

1347-4073

A. Kalkanlı, Atalay Karasu, Sergei Sakovich,

Nonlinear Photonic Systems

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, D. L. Wang: J. Phys. Soc. Jpn. 68 (1999) 369]. A conjecture is formulated on integrability of a vector generalization of the Ito system.