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arXiv · 1703.00101

Dispersionless and multicomponent BKP hierarchies with quantum torus symmetries

Chuanzhong Li
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Abstract

In this article, we will construct the additional perturbative quantum torus symmetry of the dispersionless BKP hierarchy basing on the $W_{\infty}$ infinite dimensional Lie symmetry. These results show that the complete quantum torus symmetry is broken from the BKP hierarchy to its dispersionless hierarchy. Further a series of additional flows of the multicomponent BKP hierarchy will be defined and these flows constitute an $N$-folds direct product of the positive half of the quantum torus symmetries.

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Chuanzhong Li. 2017-03-01. Dispersionless and multicomponent BKP hierarchies with quantum torus symmetries. https://doi.org/10.1016/j.geomphys.2017.04.004

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