The Painlevé Test of Higher Dimensional KdV Equation

Details The Painlevé Test of Higher Dimensional KdV Equation The Painlevé Test of Higher Dimensional KdV Equation

1996-05-16

arxiv.org/abs/solv-int/9605003v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, LaTeX

Scientific paper

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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