Abstract
We construct a family of quasi-graded algebras on hyperelliptic curves that admit the Kost ant-Adler scheme. We use them to find new integrable nonlinear evolutionary equations which admit zero-curvature representations.
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Holod, P., Skrypnyk, T. (2001). Integrable Evolutionary Equations Via Lie Algebras on Hyperelliptic Curves. In: Pakuliak, S., von Gehlen, G. (eds) Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. NATO Science Series, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0670-5_12
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DOI: https://doi.org/10.1007/978-94-010-0670-5_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-7184-7
Online ISBN: 978-94-010-0670-5
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