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.

Text
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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 |
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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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