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

Bialecki, M. and Nimmo, J.J.C. (2007) On pattern structures of the N-soliton solution of the discrete KP equation over a finite field. Journal of Physics A: Mathematical and Theoretical, 40(5), pp. 949-959.

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Publisher's URL: http://dx.doi.org/10.1088/1751-8113/40/5/006

Abstract

The existence and properties of coherent pattern in the multisoliton solutions of the dKP equation over a finite field are 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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Nimmo, Dr Jonathan
Authors: Bialecki, M., and Nimmo, J.J.C.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Physics A: Mathematical and Theoretical
ISSN:1751-8113
ISSN (Online):1751-8121
Published Online:17 January 2007

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