4 citations · 6 across the 2 of their papers we have counts for
4 papers
Complex Relativity: Gravity and Electromagnetic Fields
Roman Teisseyre, Mariusz Bialecki
We present new aspects of the electromagnetic field by introducting the natural potentials. These natural potentials are suitable for constructing the first order distortions of th…
Integrable KP and KdV cellular automata out of a hyperelliptic curve
Mariusz Bialecki
The goal of this paper is to present a solution of the cellular automaton associated with the discrete KdV equation using algebro-geometric solution of the discrete KP equation ove…
Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve
M. Bialecki, A. Doliwa
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 alge…
The Hirota equation over finite fields. Algebro-geometric approach and multisoliton solutions
Adam Doliwa, Mariusz Bialecki, Pawel Klimczewski
We consider the Hirota equation (the discrete analog of the generalized Toda system) over a finite field. We present the general algebro-geometric method of construction of solutio…