TL;DR
This paper introduces a novel generalization of the KP hierarchy that features multi bi-Hamiltonian structures and can be interpreted as multiple KP hierarchies interconnected, expanding the theoretical framework of integrable systems.
Contribution
It presents a new generalized KP hierarchy with multi bi-Hamiltonian structures, offering a unified view of coupled KP hierarchies.
Findings
The generalized hierarchy has multi bi-Hamiltonian structures.
It can be viewed as several coupled KP hierarchies.
Provides a new perspective on integrable systems.
Abstract
We propose one possible generalization of the KP hierarchy, which possesses multi bi--hamiltonian structures, and can be viewed as several KP hierarchies coupled together.
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