The discrete KP and KdV equations over finite fields

Details The discrete KP and KdV equations over finite fields The discrete KP and KdV equations over finite fields

2003-02-28

arxiv.org/abs/nlin/0302064v1

Theor. Math. Phys. 137 (2003) 1412-1418

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, ps-figures, to appear in NEEDS 2002 proceedings

Scientific paper

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.

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