1302.1927 (Yoichi Nakata)

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

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.

View original: http://arxiv.org/abs/1302.1927