Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Cheng, Jipeng
• Is Part Of: Journal of nonlinear mathematical physics. Volume 24:Issue 1(2017)
• Page Start: 7
• Page End: 19
• Publication Date: 2017-01-02
• Subjects: the q-KP and q-mKP hierarchies -- the constrained q-KP and constrained q-mKP hierarchies -- Miura transformation -- auto-Backlund transformation -- 35Q51 -- 37K10 -- 37K40; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2016.1274111
• Languages: English
• ISSNs: 1402-9251

Abstract

Abstract : The Miura and anti-Miura transformations between the q -deformed KP and the q -deformed modified KP hierarchies are investigated in this paper. Then the auto-Backlund transformations for the q -deformed KP and q -deformed modified KP hierarchies are constructed through the combinations of the Miura and anti-Miura transformations. And the corresponding results are also generalized to the constrained cases. At last, some examples of Miura and auto-Backlund transformations are given.