The gauge transformations of the constrained q-deformed modified KP hierarchy and their relations with the additional symmetries

In this paper, two kinds of gauge transformations for the constrained q -deformed modified KP hierarchy and their relations with additional symmetries are discussed. The corresponding gauge transformations are required to keep both the Lax equation and the Lax operator, which can be obtained by choo...

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Bibliographic Details
Published inAnalysis and mathematical physics Vol. 10; no. 4
Main Authors Chen, Huizhan, Geng, Lumin, Li, Na, Cheng, Jipeng
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2020
Springer Nature B.V
Subjects
Analysis
Deformation
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Transformations (mathematics)
Additional symmetry
modified KP hierarchy
35Q53
37K40
The constrained
37K10
Gauge transformations
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Summary:In this paper, two kinds of gauge transformations for the constrained q -deformed modified KP hierarchy and their relations with additional symmetries are discussed. The corresponding gauge transformations are required to keep both the Lax equation and the Lax operator, which can be obtained by choosing the special generating functions. Then the successive gauge transformations for the constrained q -modified KP hierarchy are investigated. Finally, we find that additional symmetry flows commute with the gauge transformation for the q -mKP hierarchy.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-020-00431-x