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Painlevé analysis and invariant solutions of Vakhnenko–Parkes (VP) equation with power law nonlinearity
(Springer, 2016)
The Vakhnenko–Parkes (VP) equation with
power law nonlinearity is analyzed for Painlevé test
and for Lie symmetries. The Painlevé analysis of
Vakhnenko–Parkes equation with power law nonlin-
earity is performed by the ...
Dispersion analysis and improved F-expansion method for space–time fractional differential equations
(Springer, 2019)
In this article, an improved F-expansion method with the Riccati equation is suggested for space–time fractional differential equations for exact solutions. The fractional complex transformation is used to convert the ...
Dispersion analysis and improved F-expansion method for space–time fractional differential equations
(Springer Netherlands, 2019)
In this article, an improved F-expansion method with the Riccati equation is suggested for space-time fractional differential equations for exact solutions. The fractional complex transformation is used to convert the ...
Invariants of Generalized Fifth Order Non-Linear Partial Differential Equation
(IntechOpen, 2018)
The fifth order non-linear partial differential equation in generalized form is analyzed for Lie symmetries. The classical Lie group method is performed to derive similarity variables of this equation and the ordinary ...
Exact Solutions of Some Complex Non-Linear Equations," Lecture Notes in Engineering and Computer Science
(Newswood Limited, 2018)
Exact solutions of the coupled Higgs and Maccari system are obtained. Travelling wave solutions of coupled Higgs equation and Maccari system in the form of Jacobi’s elliptical functions are presented.
Time fractional (2+1)-dimensional Wu�Zhang system: Dispersion analysis, similarity reductions, conservation laws, and exact solutions
(Elsevier Ltd, 2019)
This paper examines the time fractional (2+1)-dimensional Wu�Zhang system describing dispersive long waves. The dispersion relation of waves has been obtained from linear analysis and used to find the phase and group ...
Time fractional (2+1)-dimensional Wu-Zhang system: Dispersion analysis, similarity reductions, conservation laws, and exact solutions
(Elsevier Ltd, 2020)
This paper examines the time fractional (2+1)-dimensional Wu –Zhang system describing dispersive long waves. The dispersion relation of waves has been obtained from linear analysis and used to find the phase and group ...
Some exact solutions of the Yu�Toda�Sasa�Fukuyama equation with time-dependent coefficients via two different methods
(Elsevier B.V., 2022-09-06)
In the current study, the generalized (G?/G)-expansion method and a new modified simple equation method (NMSEM) have been utilized to secure the exact solutions of the Yu-Toda-Sasa-Fukuyama (YTSF) equation with time-dependent ...
New exact static solutions of Einstein-Maxwell field equations with a magnetic dipole
(Elsevier B.V., 2021-04-19)
The Bonnor field shed light on imposition of two magnetic poles, both with mass m, and strengths -m and m, that are situated at a coordinate distance 2b on a symmetry axis. With the addition of an external magnetic field, ...
Application of new Kudryashov method to various nonlinear partial differential equations
(Springer, 2022-11-13)
The purpose of this work is to seek various innovative exact solutions using the new Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This technique obtains novel exact solutions of soliton ...