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On pattern structures of the N-soliton solution of the discrete KP equation over a finite field

Mariusz Bialecki·Jonathan J C Nimmo
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Abstract

The existence and properties of coherent pattern in the multisoliton solutions of the dKP equation over a finite field is investigated. To that end, starting with an algebro-geometric construction over a finite field, we derive a "travelling wave" formula for $N$-soliton solutions in a finite field. However, despite it having a form similar to its analogue in the complex field case, the finite field solutions produce patterns essentially different from those of classical interacting solitons.

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Mariusz Bialecki, Jonathan J C Nimmo. 2006-08-17. On pattern structures of the N-soliton solution of the discrete KP equation over a finite field. https://doi.org/10.1088/1751-8113%2F40%2F5%2F006

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