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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 examples are introduced to justify our results.

open journal of mathematical sciences

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