Abstract
In this paper, we construct a new even constrained B(C)-type Toda hierarchy and derive its B(C)-type Block-type additional symmetry. Also we generalize the B(C)-type Toda hierarchy to the N-component B(C)-type Toda hierarchy which is proved to have symmetries of a coupled \(\bigotimes ^NQT_+ \) algebra (N-fold direct product of the positive half of the quantum torus algebra QT).
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Acknowledgements
This work is supported by the National Natural Science Foundation of China under Grant No. 11571192 and K. C. Wong Magna Fund in Ningbo University.
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Communicated by Anthony Bloch.
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Wang, N., Li, C. Quantum Torus Algebras and B(C)-Type Toda Systems. J Nonlinear Sci 27, 1957–1970 (2017). https://doi.org/10.1007/s00332-017-9392-3
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DOI: https://doi.org/10.1007/s00332-017-9392-3
Keywords
- B(C)-type Toda hierarchy
- Additional symmetries
- Multicomponent B(C)-type Toda hierarchy
- Quantum torus algebra