A Doliwa et al 2003 J. Phys. A: Math. Gen. 36 4827 doi:10.1088/0305-4470/36/17/309
A Doliwa1, M Białecki2,3,4 and P Klimczewski2
Show affiliationsWe consider the Hirota equation (the discrete analogue of the generalized Toda system) over a finite field. We present the general algebro-geometric method of construction of solutions of the equation. As an example we construct analogues of the multisoliton solutions for which the wavefunctions and the τ-function can be found using rational functions. Within the class of multisoliton solutions we isolate generalized breather-type solutions which have no direct counterparts in the complex field case.
Issue 17 (2 May 2003)
Received 25 November 2002
Published 16 April 2003
A Doliwa et al 2003 J. Phys. A: Math. Gen. 36 4827
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