Monday, February 11, 2013

1302.1927 (Yoichi Nakata)

Solutions to the ultradiscrete KdV equation expressed as the maximum of
a quadratic function

Yoichi Nakata
We propose the functions defined by the maximum of a discrete quadratic form and satisfying the ultradiscrete KdV equation. These functions includes not only soliton solutions but also pseudo-periodic solutions. In the proof, we employ some facts of discrete convex analysis.
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