A KP-mKP Hierarchy via Operators with Two Derivations
2023
Online
report
By using pseudo-differential operators containing two derivations, we extend the Kadomtsev-Petviashvili (KP) hierarchy to a certain KP-mKP hierarchy. For the KP-mKP hierarchy, we obtain its B\"{a}cklund transformations, bilinear equations of Baker-Akhiezer functions and Hirota equations of tau functions. Moreover, we show that this hierarchy is equivalent to a subhierarchy of the dispersive Whitham hierarchy associated to the Riemann sphere with its infinity point and one movable point marked.
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A KP-mKP Hierarchy via Operators with Two Derivations
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Autor/in / Beteiligte Person: | Geng, Lumin ; Hu, Jianxun ; Wu, Chao-Zhong |
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Veröffentlichung: | 2023 |
Medientyp: | report |
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