2018•Modern Physics Letters BRequires access

The q-deformed mKP hierarchy with two parameters

Kelei Tian, Yanyan Ge, Xiaoming Zhu

Abstract

In this paper, with the help of the biparametric quantum calculus we construct the Sato theory on the q-deformation modified Kadomtsev–Petviashvili hierarchy with two parameters (qp-mKP), which is a new deformation of classical mKP hierarchy. The Lax equation and dressing operator of qp-mKP hierarchy are derived. By considering the M operator and [Formula: see text] operator, the additional symmetry of qp-mKP hierarchy is obtained.

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Key concepts: Hierarchy, Operator (biology), Construct (python library), Deformation (meteorology), Symmetry (geometry), Pure mathematics, Theoretical physics, Quantum