Conserved quantities and generalized solutions of the ultradiscrete KdV equation

Details Conserved quantities and generalized solutions of the ultradiscrete KdV equation Conserved quantities and generalized solutions of the ultradiscrete KdV equation

2010-12-18

arxiv.org/abs/1012.4061v1

J. Phys. A: Math. Theor. 44 (2011) 145202

Physics

Mathematical Physics

16 pages, 7 figures

Scientific paper

10.1088/1751-8113/44/14/145202

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.

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