Integrability of a Generalized Ito System: the Painleve Test
Ayse Karasu, Atalay Karasu, Sergei Sakovich
Abstract
It is shown that a generalized Ito system of four coupled nonlinear evolution equations passes the Painleve test for integrability in five distinct cases, of which two were introduced recently by Tam, Hu and Wang. A conjecture is formulated on integrability of a vector generalization of the Ito system.
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