Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2001-02-23
J.Phys.Soc.Jap.70:1165-1166,2001
Nonlinear Sciences
Exactly Solvable and Integrable Systems
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.
Karasu Atalay
Karasu Ayse
Sakovich Sergei
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