Bogoyavlensky–modified KdV hierarchy and toroidal Lie algebra $$\textrm{sl}^\textrm{tor}_{2}$$
Author:
Funder
National Natural Science Foundation of China
Qinglan Project of Jiangsu Province of China
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s11005-024-01798-9.pdf
Reference45 articles.
1. Babelon, O., Bernard, D., Talon, M.: Introduction to Classical Integrable Systems. Cambridge University Press, Cambridge (2003)
2. Bakalov, B., Kirk, S.: Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras. J. Math. Phys. 62, 031703 (2021)
3. Billig, Y.: An extension of the Korteweg–de Vries hierarchy arising from a representation of a toroidal Lie algebra. J. Algebra 217, 40–64 (1999)
4. Bogoyavlensky, O.I.: Breaking solitons in $$2+1$$-dimensional integrable equations. Russ. Math. Surv. 4, 1–86 (1990)
5. Casati, P., Ortenzi, G.: New integrable hierarchies from vertex operator representations of polynomial Lie algebras. J. Geom. Phys. 56, 418–449 (2006)
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