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...
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/ |
Similar Items
-
APPLICATION OF BACKLUND DIFFERENTIAL CONSTRAINT FOR CONSTRUCTING EXACT SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS
by: T. V. Red'kina, et al.
Published: (2020-10-01) -
BACKLUND TRANSFORMATIONS FOR LIOUVILLE’S EQUATIONS WITH EXPONENTIAL NONLINEARITY
by: T. V. Red'kina, et al.
Published: (2020-10-01) -
Approximate solution for quadratic Riccati differential equation
by: Fateme Ghomanjani, et al.
Published: (2017-03-01) -
On the relations between some well-known methods and the projective Riccati equations
by: Akçağıl Şamil
Published: (2020-10-01) -
An operational method for solutions of Riccati type differential equations with functional arguments
by: Şuayip Yüzbaşı
Published: (2020-01-01)