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Zbl 0983.37082
Adler, V.E.; Svinolupov, S.I.; Yamilov, R.I.
Multi-component Volterra and Toda type integrable equations. (English)
[J] Phys. Lett., A 254, No.1-2, 24-36 (1999). ISSN 0375-9601

Summary: Multi-component integrable analogs related to the Jordan triple systems (JTS) are constructed for the Volterra equation. Differential-difference substitutions lead to multi-component Toda type lattices. Associated equations generalize the derivative nonlinear Schrödinger equation. Multi-component master symmetries (both partial differential and differential difference ones) and zero curvature representations for lattice equations written in terms of the superstructure Lie algebra of the JTS arise for the first time.

MSC 2000:: *37K10 Completely integrable systems etc.
37K60 Lattice dynamics

Keywords: multi-component integrable equations; Jordan triple systems; Volterra equation; differential difference substitutions; multi-component master symmetries; lattice equations

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