General theory for gauge equivalence and simplification of matrix Lax pairs in evolutionary differential-difference equations, applied to construct new two-component integrable systems and Miura transformations.
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Explicit invariants of the gauge action on semi-discrete matrix Lax representations detect non-removable spectral parameters and give necessary conditions for gauge equivalence of Lax pairs.
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On matrix Lax representations for (1+1)-dimensional evolutionary differential-difference equations
General theory for gauge equivalence and simplification of matrix Lax pairs in evolutionary differential-difference equations, applied to construct new two-component integrable systems and Miura transformations.
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The gauge action on semi-discrete Lax representations and its invariants
Explicit invariants of the gauge action on semi-discrete matrix Lax representations detect non-removable spectral parameters and give necessary conditions for gauge equivalence of Lax pairs.