Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2006-08-17
J. Phys. A: Math. Theor. 40 (2007), 949-959.
Nonlinear Sciences
Exactly Solvable and Integrable Systems
12 pages, 3 figures
Scientific paper
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.
Bialecki Mariusz
Nimmo Jonathan J. C.
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