Integrability of a Generalized Ito System: the Painleve Test

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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LaTeX, 5 pages

Scientific paper

10.1143/JPSJ.70.1165

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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