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Conserved quantities and generalized solutions of the ultradiscrete KdV equation

Authors
  • Kanki, Masataka
  • Mada, Jun
  • Tokihiro, Tetsuji
Type
Published Article
Publication Date
Dec 18, 2010
Submission Date
Dec 18, 2010
Identifiers
DOI: 10.1088/1751-8113/44/14/145202
Source
arXiv
License
Yellow
External links

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.

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