Browsing by Subject "Exact solutions"
Now showing items 1-10 of 13
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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 ... -
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 ... -
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. -
Generalised Two-Component Modified Weakly Dissipative Dullin-Gottwald-Holm System: Invariance Analysis and Conservation Laws
(VGTU, 2022-02-07)The Dullin-Gottwald-Holm equation models the unidirectional propagation of shallow regime water waves. In this work, the Lie symmetry analysis of the generalised two-component modified weakly dissipative Dullin-Gottwald-Holm ... -
Invariant solutions and bifurcation analysis of the nonlinear transmission line model
(Springer Science and Business Media B.V., 2021-09-03)In this paper, the nonlinear transmission line model with the power law nonlinearity and the constant capacitance and voltage relationship is studied using Lie symmetry analysis. Corresponding to the infinitesimals obtained, ... -
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 ... -
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, ... -
Optimal system, dynamical behaviors and exact solution of a nonlinear transmission line model by applying the Lie symmetry method
(Springer, 2022-03-29)Transmission lines are used for purposes such as connecting radio transmitters and receivers with their antennas, distributing cable television signals, trunk lining routing calls between telephone switching centers, ... -
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 ...