2 citations · 4 across the 4 of their papers we have counts for
4 papers
On matrix Lax representations for (1+1)-dimensional evolutionary differential-difference equations
Sergei Igonin
Differential-difference matrix Lax representations (Lax pairs), gauge transformations, and discrete Miura-type transformations (MTs) belong to the main tools in the theory of (nonl…
On matrix Lax representations and constructions of Miura-type transformations for differential-difference equations
Evgeny Chistov, Sergei Igonin
This paper is part of a research project on relations between differential-difference matrix Lax representations (MLRs) with the action of gauge transformations and discrete Miura-…
Matrix Lax pairs under the gauge equivalence relation induced by the gauge group action and Miura-type transformations for lattice equations
Sergei Igonin
In this paper we explore interconnections of differential-difference matrix Lax representations (Lax pairs), gauge transformations, and discrete Miura-type transformations (MTs), w…
Simplifications of Lax pairs for differential-difference equations by gauge transformations and (doubly) modified integrable equations
Sergei Igonin
Matrix differential-difference Lax pairs play an essential role in the theory of integrable nonlinear differential-difference equations. We present sufficient conditions which allo…