arXiv subjects

M. Bialecki

Publications and source records attributed to M. Bialecki.

2 recordsLinked to original sources

arXiv2003

Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve

We transfer the algebro-geometric method of construction of solutions of the discrete KP equation to the finite field case. We emphasize role of the Jacobian of the underlying algebraic curve in construction of the solutions. We illustrate in detail the procedure on example of a hyperelliptic curve.

nlin.SI↗

arXiv2003

The discrete KP and KdV equations over finite fields

We propose the algebro-geometric mothod of construction of solutions of the discrete KP equation over a finite field. We also perform the corresponding reduction to the finite field version of the discrete KdV equation. We write down formulas which allow to construct multisoliton solutions of the equations starting from vacuum wave functions on arbitrary non-singular curve.

nlin.SI↗