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Solutions to the ultradiscrete KdV equation expressed as the maximum of a quadratic function

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Author(s): Yoichi Nakata

Publication date Created: 07 February 2013

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Abstract

We propose the functions defined by the maximum of a discrete quadratic form and satisfying the ultradiscrete KdV equation. These functions includes not only soliton solutions but also pseudo-periodic solutions. In the proof, we employ some facts of discrete convex analysis.

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Most cited references 6

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Initial-value problem of the discrete periodic Toda equation and its ultradiscretization

Taeko Kimijima, Tetsuji Tokihiro (2002)

0 comments Cited 11 times – based on 0 reviews      Review now

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Solving the ultradiscrete KdV equation

Yoichi Nakata, Junkichi Satsuma, Alfred Ramani … (2010)

0 comments Cited 8 times – based on 0 reviews      Review now

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Ultradiscrete Soliton Solution of Permanent Type

Ryogo Hirota, Daisuke Takahashi (2007)

0 comments Cited 5 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 07 February 2013

Article

DOI: 10.1088/1751-8113/46/26/265203

ArXiV ID: 1302.1927

SO-VID: c5afd3bf-e372-47c9-9189-ce6d229fc8db

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

Custom metadata

Comments 16 pages, 4 figures

Categories nlin.SI math-ph math.MP

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