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arxiv: solv-int/9801002 · v1 · pith:GOEHVCGVnew · submitted 1997-12-31 · solv-int · nlin.SI

A Symmetric Generalization of Linear B\"acklund Transformation associated with the Hirota Bilinear Difference Equation

classification solv-int nlin.SI
keywords differenceacklundbilinearequationhirotalineartransformationarbitrary
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The Hirota bilinear difference equation is generalized to discrete space of arbitrary dimension. Solutions to the nonlinear difference equations can be obtained via B\"acklund transformation of the corresponding linear problems.

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