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math-ph2010★ 10 cited
Conserved quantities and generalized solutions of the ultradiscrete KdV equation
Masataka Kanki, Jun Mada, Tetsuji Tokihiro
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…
math-ph2007★ 15 cited
Ultradiscretization of the solution of periodic Toda equation
Shinsuke Iwao, Tetsuji Tokihiro
A periodic box-ball system (pBBS) is obtained by ultradiscretizing the periodic discrete Toda equation (pd Toda eq.). We show the relation between a Young diagram of the pBBS and a…