Simplifications of Lax pairs for differential–difference equations by gauge transformations and (doubly) modified integrable equations

Matrix differential–difference Lax pairs play an essential role in the theory of integrable nonlinear differential–difference equations. We present sufficient conditions which allow one to simplify such a Lax pair by matrix gauge transformations. Furthermore, we describe a procedure for such a simpl...

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Dades bibliogràfiques

Autor principal:	Sergei Igonin
Format:	Artigo
Idioma:	Inglês
Publicat:	Elsevier 2024-09-01
Col·lecció:	Partial Differential Equations in Applied Mathematics
Matèries:	Integrable differential–difference equations Matrix Lax pairs Gauge transformations Discrete substitutions of Miura-type Itoh–Narita–Bogoyavlensky type equations Toda lattice
Accés en línia:	http://www.sciencedirect.com/science/article/pii/S2666818124002079
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