The q-deformed mKP hierarchy with two parameters-Reference-Cited by-同舟云学术

The q-deformed mKP hierarchy with two parameters

Published:2018-06-05 Issue:16 Volume:32 Page:1850170
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Tian Kelei¹^ORCID,Ge Yanyan²,Zhu Xiaoming²

Affiliation:

1. School of Mathematics, Hefei University of Technology, Hefei 230009, China

2. School of Mathematical Science, University of Science and Technology of China, Hefei 230026, China

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.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Anhui Province (CN)

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984918501701

Reference33 articles.

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