Algebro-Geometric Solution of the Discrete KP Equation over a Finite Field out of a Hyperelliptic Curve

Author:

Białecki Mariusz,Doliwa Adam

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference29 articles.

1. Belokolos, E.D., Bobenko, A.I., Enol’skii, V.Z., Its, A.R., Matveev, V.B.: Algebro-geometric approach to nonlinear integrable equations. Berlin: Springer-Verlag, 1994

2. Białecki, M.: Methods of algebraic geometry over finite fields in construction of integrable cellular automata. PhD dissertation, Warsaw University, Institute of Theoretical Physics, 2003

3. Białecki, M., Doliwa, A.: The discrete KP and KdV equations over finite fields. Theor. Math. Phys. 137, 1412–1418 (2003)

4. Bobenko, A., Bordemann, M., Gunn, Ch., Pinkall, U., On two integrable cellular automata. Commun. Math. Phys. 158, 127–134 (1993)

5. Bruschi, M., Santini, P.M.: Cellular automata in 1+1, 2+1 and 3+1 dimensions, constants of motion and coherent structures. Physica D 70, 185–209 (1994)

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