On Backlund transformation of Riccati equation method and its application to nonlinear partial differential equations and differential-difference equations

In this paper, we investigate the equivalence between the Backlund transformation of Riccati equation method and the extended tanh-function method. It is proved that the two methods are equivalent when applying them to partial differential equations and differential-difference equations. Two example...

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Bibliographic Details
Main Authors: Reham Hassan, Mustafa El-Agamy, Mohamed Soror Abdel Latif, Hamed Nour
Format: Article
Language:English
Published: Ptolemy Scientific Research Press 2020-03-01
Series:Open Journal of Mathematical Sciences
Subjects:
Online Access:https://pisrt.org/psr-press/journals/oms-vol-4-2020/on-backlund-transformation-of-riccati-equation-method-and-its-application-to-nonlinear-partial-differential-equations-and-differential-difference-equations/