Lie Symmetry Analysis, Exact Solutions, Conservation Laws and Bäcklund Transformations of the Gibbons-Tsarev Equation

In this paper, we mainly put the Lie symmetry analysis method on the Gibbons-Tsarev equation (GTe) to obtain some new results, including some Lie symmetries, one-parameter transformation groups, explicit invariant solutions in the form of power series. Subsequently, the self-adjointness of the GTe i...

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Bibliographic Details
Main Authors: Huanhuan Lu, Yufeng Zhang
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/8/1378