On the Bäcklund transformation of a generalized Harry Dym type equation

We connect the generalized Harry Dym type equation with the modified Korteweg–de Vries equation via reciprocal and gauge transformations. This allows us to deduce the N-Bäcklund transformation for the generalized Harry Dym type equation with the aid of the Bäcklund transformation for the modified Ko...

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Bibliographic Details
Published in:Wave motion 2023-07, Vol.120, p.103162, Article 103162
Main Authors: Tan, Fanglan, Wu, Lihua
Format: Article
Language:English
Subjects:
Bäcklund transformation
Generalized Harry Dym type equation
Soliton solutions
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Summary:We connect the generalized Harry Dym type equation with the modified Korteweg–de Vries equation via reciprocal and gauge transformations. This allows us to deduce the N-Bäcklund transformation for the generalized Harry Dym type equation with the aid of the Bäcklund transformation for the modified Korteweg–de Vries equation. As an application, some soliton solutions and their interactions for the generalized Harry Dym type equation are discussed.
ISSN:0165-2125
1878-433X
DOI:10.1016/j.wavemoti.2023.103162