Links between -KP Hierarchy, -mKP Hierarchy, and (2+1)- -Harry Dym Hierarchy

Yehui Huang, Yuqin Yao and Yunbo Zeng

Advances in Mathematical Physics, 2015, vol. 2015, 1-11

Abstract:

The new (2+1)- -Harry Dym hierarchy and -mKP hierarchy with two new time series and , which consist of -flow, -flow, and mixed and evolution equations of eigenfunctions, are proposed. Gauge transformations and reciprocal transformations between -KP hierarchy, -mKP hierarchy, and (2+1)- -Harry Dym hierarchy are studied. Their soliton solutions are presented.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:392723

DOI: 10.1155/2015/392723

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