The Painlevé Test of Higher Dimensional KdV Equation
Yu. Song-Ju, T. Fukuyama
Abstract
We argue the integrability of the generalized KdV(GKdV) equation using the Painlevé test. For d( 2) dimensional space, GKdV equation passes the Painlevé test but does not for d ≥ 3 dimensional space. We also apply the Ablowitz-Ramani-Segur's conjecture to the GKdV equation in order to complement the Painlevé test.
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