The Discrete KP and KdV Equations over Finite Fields

被引：0

作者：

M. Białecki

A. Doliwa

机构：

[1] Uniwersytet w Białymstoku,Instytut Fizyki Teoretycznej

[2] Instytut Geofizyki PAN,Wydział Matematyki i Informatyki

[3] Uniwersytet Warmińsko–Mazurski,undefined

来源：

Theoretical and Mathematical Physics | 2003年 / 137卷

关键词：

integrable systems; cellular automata; finite fields;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We propose an algebro-geometric method for constructing solutions of the discrete KP equation over a finite field. We also perform the corresponding reduction to the finite-field version of the discrete KdV equation. We write formulas that allow constructing multisoliton solutions of the equations starting from vacuum wave functions on an arbitrary nonsingular curve.

引用

页码：1412 / 1418

页数：6

共 50 条

[1] The discrete KP and KdV equations over finite fields
Bialecki, M
Doliwa, A
THEORETICAL AND MATHEMATICAL PHYSICS, 2003, 137 (01) : 1412 - 1418
[2] On diagonal equations over finite fields
Oliveira, Jose Alves
FINITE FIELDS AND THEIR APPLICATIONS, 2021, 76
[3] On certain diagonal equations over finite fields
Hou, Xiang-Dong
Sze, Christopher
FINITE FIELDS AND THEIR APPLICATIONS, 2009, 15 (06) : 633 - 643
[4] SPARSE ALGEBRAIC EQUATIONS OVER FINITE FIELDS
Semaev, Igor
SIAM JOURNAL ON COMPUTING, 2009, 39 (02) : 388 - 409
[5] On the solvability of some special equations over finite fields
Felszeghy, B
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2006, 68 (1-2): : 15 - 23
[6] MaxMinMax problem and sparse equations over finite fields
Semaev, Igor
DESIGNS CODES AND CRYPTOGRAPHY, 2016, 79 (02) : 383 - 404
[7] Solvability of Systems of General Equations over Finite Fields
Le Anh Vinh
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2014, 63 (01) : 281 - 302
[8] On the Number of Solutions of Certain Equations over Finite Fields
Zheng Jun ZHAO1
2.Department of Mathematics
Journal of Mathematical Research with Applications, 2010, (06) : 957 - 966
[9] MaxMinMax problem and sparse equations over finite fields
Igor Semaev
Designs, Codes and Cryptography, 2016, 79 : 383 - 404
[10] A Class of Quadratic Matrix Equations over Finite Fields
Chen, Yin
Zhang, Xinxin
ALGEBRA COLLOQUIUM, 2023, 30 (01) : 169 - 180

← 1 2 3 4 5 →