Conserved quantities and generalized solutions of the ultradiscrete KdV equation
Mathematical Physics
2011-03-10 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct generalized solutions to the ultradiscrete KdV equation, including the so-called negative solition solutions. The method is based on the ultradiscretization of soliton solutions to the discrete KdV equation with gauge transformation. The conserved quantities of the ultradiscrete KdV equation are shown to be constructed in a similar way to those for the box-ball system.
Keywords
Cite
@article{arxiv.1012.4061,
title = {Conserved quantities and generalized solutions of the ultradiscrete KdV equation},
author = {Masataka Kanki and Jun Mada and Tetsuji Tokihiro},
journal= {arXiv preprint arXiv:1012.4061},
year = {2011}
}
Comments
16 pages, 7 figures