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1. The tau function for ABS equations

Author

Atkinson, James

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, 37, 39
Abstract

The tau-function for quad-equations from the ABS classification is briefly explained. It is an auxiliary variable that systematically linearises the Backlund chain. Many equations have the same tau function and are unified by transformations constructed on that basis. Simple examples are included., Comment: 15 pages, corrected a faulty gauge factor in Section 4, other minor corrections

Published
2024

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