Links between (γn, σk)‐KP Hierarchy, (γn, σk)‐mKP Hierarchy, and (2+1)‐(γn, σk)‐Harry Dym Hierarchy

Yehui Huang, Yuqin Yao and Yunbo Zeng

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

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

Date: 2015
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https://doi.org/10.1155/2015/392723

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:392723

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