3 papers
nlin.SI2026
Additional symmetries of the KP-mKP hierarchy and Virasoro constraints to the Burgers-KdV hierarchy
Zongyao Feng, Lumin Geng, Chao-Zhong Wu
A KP-mKP hierarchy was introduced recently via pseudo-differential operators containing two derivations. In this paper, for the KP-mKP hierarchy we derive a class of (differential)…
nlin.SI2025
Reduction properties of the KP-mKP hierarchy
Lumin Geng, Jianxun Hu, Chao-Zhong Wu
The so-called KP-mKP hierarchy, which was introduced recently via pseudo-differential operators with two derivations, can be reduced to the Kadomtsev-Petviashvili (KP), the modifie…
nlin.SI2023
A KP-mKP Hierarchy via Operators with Two Derivations
Lumin Geng, Jianxun Hu, Chao-Zhong Wu
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 o…