The Painlev\'e Test of Higher Dimensional KdV Equation
classification
solv-int
nlin.SI
keywords
equationpainlevtestdimensionalgkdvspaceablowitz-ramani-segurapply
read the original abstract
We argue the integrability of the generalized KdV(GKdV) equation using the Painlev\'e test. For $d( \le 2)$ dimensional space, GKdV equation passes the Painlev\'e test but does not for $d \geq 3$ dimensional space. We also apply the Ablowitz-Ramani-Segur's conjecture to the GKdV equation in order to complement the Painlev\'e test.
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