Masataka Kanki, Jun Mada, Tetsuji Tokihiro
Published 2010-12-18Version 1
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.
Comments: 16 pages, 7 figures
Journal: J. Phys. A: Math. Theor. 44 (2011) 145202
Darboux dressing and undressing for the ultradiscrete KdV equation
Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
Generalized hydrodynamics in box-ball system
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