Virasoro symmetries of the constrained dispersionless mKP hierarchy

Xiaoman Luo (College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, Shandong, PR China) ; Chuanzhong Li (College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, Shandong, PR China)

This paper aims at the auto-Bäcklund transformations for the dispersionless mKP hierarchy, dispersionless Miura map between the constrained dispersionless mKP hierarchy and the constrained dispersionless Harry Dym hierarchy and Virasoro symmetries of the constrained dispersionless mKP hierarchy. The additional symmetries of the constrained dispersionless mKP hierarchy are constructed in a manner similar to that of the dispersionless mKP hierarchy. By comparison, a new Laurent series Yl is introduced. The additional flows form a subalgebra of the Virasoro algebra.

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      "title": "Virasoro symmetries of the constrained dispersionless mKP hierarchy"
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      "value": "This paper aims at the auto-B\u00e4cklund transformations for the dispersionless mKP hierarchy, dispersionless Miura map between the constrained dispersionless mKP hierarchy and the constrained dispersionless Harry Dym hierarchy and Virasoro symmetries of the constrained dispersionless mKP hierarchy. The additional symmetries of the constrained dispersionless mKP hierarchy are constructed in a manner similar to that of the dispersionless mKP hierarchy. By comparison, a new Laurent series <math><msub><mrow><mi>Y</mi></mrow><mrow><mi>l</mi></mrow></msub></math> is introduced. The additional flows form a subalgebra of the Virasoro algebra."
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Published on:
19 December 2023
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 843 C (2023)

Article ID: 138052
DOI:
https://doi.org/10.1016/j.physletb.2023.138052
Copyrights:
The Authors
Licence:
CC-BY-3.0

Fulltext files: