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arxiv: nlin/0102030 · v1 · pith:C5FMF5CDnew · submitted 2001-02-23 · 🌊 nlin.SI · math-ph· math.AP· math.MP

Integrability of a Generalized Ito System: the Painleve Test

classification 🌊 nlin.SI math-phmath.APmath.MP
keywords integrabilitysystemgeneralizedpainlevetestcasesconjecturecoupled
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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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