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A Symmetric Generalization of Linear Bäcklund Transformation associated with the Hirota Bilinear Difference Equation

Nobuhiko Shinzawa·Satoru Saito
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Abstract

The Hirota bilinear difference equation is generalized to discrete space of arbitrary dimension. Solutions to the nonlinear difference equations can be obtained via Bäcklund transformation of the corresponding linear problems.

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Nobuhiko Shinzawa, Satoru Saito. 1997-12-31. A Symmetric Generalization of Linear Bäcklund Transformation associated with the Hirota Bilinear Difference Equation. https://doi.org/10.1088/0305-4470%2F31%2F19%2F016

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