The m-component super KP hierarchy in Kac-van de Leur version

In this paper, the m-component super KP hierarchy in form of free superfermions is constructed by Clifford superalgebra. The super bosonic counterpart of this hierarchy is described by using the vertex operators. Based on this, some super Hirota equations are determined and the bilinear identity is expressed by super Baker functions and tau function. Darboux transformation in terms of superfermions is also discussed.

Authors

Publication Details

Journal
Physics Letters B
Published
2024-09-06
DOI
https://doi.org/10.1016/j.physletb.2024.139005
Citations
4
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
1.12

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article

The m-component super KP hierarchy in Kac-van de Leur version

Huizhan Chen
4 citations
Physics Letters B
Nonlinear Waves and Solitons
1.12
article

The m-component super KP hierarchy in Kac-van de Leur version

Huizhan Chen
article en
4 citations

Abstract

In this paper, the m-component super KP hierarchy in form of free superfermions is constructed by Clifford superalgebra. The super bosonic counterpart of this hierarchy is described by using the vertex operators. Based on this, some super Hirota equations are determined and the bilinear identity is expressed by super Baker functions and tau function. Darboux transformation in terms of superfermions is also discussed.

Physics Letters BVol. 857
Sun Yat-sen University, China University of Mining and Technology
Openalex Percentile: Top 23%
Nonlinear Waves and Solitons
1.12
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