The generalized periodic ultradiscrete KdV equation and its background solutions
Exactly Solvable and Integrable Systems
2012-08-20 v2 Mathematical Physics
math.MP
Cellular Automata and Lattice Gases
Abstract
We investigate the ultradiscrete KdV equation with periodic boundary conditions where the two parameters (capacity of the boxes and that of the carrier) are arbitrary integers. We give a criterion to allow a periodic boundary condition when initial states take arbitrary integer values. Conserved quantities are constructed for the periodic systems. Construction of background solutions of the periodic ultradiscrete KdV equation from the Jacobi theta function is also presented.
Cite
@article{arxiv.1104.4445,
title = {The generalized periodic ultradiscrete KdV equation and its background solutions},
author = {Masataka Kanki},
journal= {arXiv preprint arXiv:1104.4445},
year = {2012}
}
Comments
20 pages, 7 figures, v2: final form to appear in J. Math. Sci. Univ. Tokyo