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Zbl 1058.35532
Karasu-Kalkanli, Ayşe; Karasu, Atalay; Sakovich, Sergei Yu.
Integrability of a generalized Ito system: the Painlevé test. (English)
[J] J. Phys. Soc. Japan 70, No. 5, 1165-1166 (2001). ISSN 0031-9015; ISSN 1347-4073/e

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. [{\it H. W. Tam, X. B. Hu} and {\it 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.

MSC 2000:: *35Q53 KdV-like equations
37K10 Completely integrable systems etc.

Citations: Zbl 0944.34007; Zbl 0944.35007

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