Mariusz Białecki and Jonathan J C Nimmo 2007 J. Phys. A: Math. Theor. 40 949 doi:10.1088/1751-8113/40/5/006
Mariusz Białecki1,2 and Jonathan J C Nimmo1,3
Show affiliationsThe 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.
35Q51 Solitons (See also 37K40)
35Q58 Other completely integrable equations (See also 37J35, 37K10)
Issue 5 (2 February 2007)
Received 8 September 2006, in final form 11 December 2006
Published 17 January 2007
Mariusz Białecki and Jonathan J C Nimmo 2007 J. Phys. A: Math. Theor. 40 949
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