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- Title
The gauge transformation of the modified KP hierarchy.
- Authors
Cheng, Jipeng
- Abstract
In this paper, we firstly investigate the successive applications of three elementary gauge transformation operatorsTiwithi= 1,2,3 for the mKP hierarchy in Kupershmidt-Kiso version, and find that the gauge transformation operatorsTican not commute with each other. Then two types of gauge transformation operatorsTDandTIconstructed fromTiare proved that they can commute with each other. In particular,TIis introduced for the first time in the literature. And the successive applications ofTDandTIin the form ofT(n,k), which is the product ofnterms ofTDandkterms ofTI, are derived in three cases for differentnandk. At last, the corresponding successive applications ofTDandTIon the eigenfunction Φ, the adjoint eigenfunction Ψ and the tau functionsτ0andτ1are considered.
- Subjects
GAUGE invariance; HIERARCHY of effects model (Communication); EIGENFUNCTIONS; ELLIPTIC operators; LITERATURE
- Publication
Journal of Nonlinear Mathematical Physics, 2018, Vol 25, Issue 1, p66
- ISSN
1402-9251
- Publication type
Article
- DOI
10.1080/14029251.2018.1440743