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2020•Journal of Physics A Mathematical and TheoreticalRequires access

Symmetries of Z N graded discrete integrable systems

Allan P. Fordy, Pavlos Xenitidis

Open publisher page 8 citations

Abstract

Abstract We recently introduced a class of Z N graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). We discuss differential–difference equations which then we interpret as symmetries of the discrete systems. In particular, we present nonlocal symmetries which are associated with the 2D Toda lattice.

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Abstract We recently introduced a class of Z N graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). We discuss differential–difference equations which then we interpret as symmetries of the discrete systems. In particular, we present nonlocal symmetries which are associated with the 2D Toda lattice.

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Available abstract

Abstract We recently introduced a class of Z N graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). We discuss differential–difference equations which then we interpret as symmetries of the discrete systems. In particular, we present nonlocal symmetries which are associated with the 2D Toda lattice.

Key concepts: Integrable system, Homogeneous space, Mathematics, Pure mathematics, Mathematical physics, Mathematical analysis, Algebra over a field, Geometry

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