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arXiv · 1003.2016

Bilinear Equations and B\"acklund Transformation for Generalized Ultradiscrete Soliton Solution

Hidetomo Nagai·Daisuke Takahashi
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Abstract

Ultradiscrete soliton equations and B\"acklund transformation for a generalized soliton solution are presented. The equations include the ultradiscrete KdV equation or the ultradiscrete Toda equation in a special case. We also express the solution by the ultradiscrete permanent, which is defined by ultradiscretizing the signature-free determinant, that is, the permanent. Moreover, we discuss a relation between B\"acklund transformations for discrete and ultradiscrete KdV equations.

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Hidetomo Nagai, Daisuke Takahashi. 2010-03-10. Bilinear Equations and B\"acklund Transformation for Generalized Ultradiscrete Soliton Solution. https://doi.org/10.1088/1751-8113/43/37/375202

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