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Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
Інший ID:
2010 Mathematics Subject Classification: 37K05; 37K10; 37K35; 39A05
DOI:10.3842/SIGMA.2017.051
DOI:10.3842/SIGMA.2017.051
Посилання:
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice / A.P. Fordy, P. Xenitidis // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 6 назв. — англ.
Підтримка:
PX acknowledges support from the EPSRC grant Structure of partial difference equations with
continuous symmetries and conservation laws, EP/I038675/1.
Дата:
2017
Переглядів:
567
Завантажень:
236
Анотація:
We recently introduced a class of ZN graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called ''self-dual''. In this paper we discuss the continuous symmetries of these systems, their reductions and the relation of the latter to the Bogoyavlensky equation.
