A note on the Painlevé property of coupled KdV equations
نویسنده
چکیده
We prove that one system of coupled KdV equations, recently claimed by Hirota, Hu and Tang [J. Math. Anal. Appl. 288:326–348 (2003)] to pass the Painlevé test for integrability, actually fails the test at the highest resonance of the generic branch. Introduction In Section 6 of their recent work [1], Hirota, Hu and Tang reported that the system of coupled KdV equations ∂ui ∂t + 6a ( N
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