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Time fractional Biswas–Milovic equation: Group analysis, soliton solutions, conservation laws and residual power series solution
(Elsevier GmbH, 2019)
In this work, we studied time fractional Biswas–Milovic equation (FBME) which describes the long distance optical communication with Kerr law nonlinearity. We analyzed group analysis of equation by using Lie symmetry ...
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 ...
On explicit exact solutions and conservation laws for time fractional variable - coefficient coupled Burger's equations
(Elsevier B.V., 2020)
In this paper, we investigate time fractional variable-coefficient coupled Burger's equations for admissible form of variable coefficients under the condition of invariance. The reduced form of systems is obtained by using ...
Symmetry reduction, conservation laws and power series solution of time-fractional variable coefficient Caudrey�Dodd�Gibbon�Sawada�Kotera equation
(Springer Medizin, 2021-10-13)
In this paper, Lie classical approach is utilized for the symmetry reduction of time-fractional variable coefficient Caudrey�Dodd�Gibbon�Sawada�Kotera equation. The obtained symmetries and Erde� lyi�Kober fractional ...
On Invariant Analysis, Symmetry Reduction and Conservation Laws of�Nonlinear Buckmaster Model
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)
In this work, a systematic investigation�on invariant analysis of Buckmaster model, raised�in mathematical physics, is performed. A general set�of symmetries and corresponding reductions of the considered equation are ...
Exact Series Solutions and Conservation Laws of Time Fractional Three Coupled KdV System
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)
The explicit series solutions of fractional�order nonlinear three�coupled KdV system are investigated by using power series expansion and group analysis. The nontrivial and nonlocal conservation laws are also determined ...
Conservation Laws of Einstein�s Field Equations for Pure Radiation Fields
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)
In the present paper, conservation laws of some of Einstein�s field equations are�obtained. Two methods are used to obtain conservation�laws. Firstly, direct method via multiplier approach is used and then, new conservation ...
Explicit Exact Solutions and�Conservation Laws of�Modified ? Equation
(Springer Science and Business Media Deutschland GmbH, 2022-10-13)
The invariant solutions of generalised modified ? equation are obtained by using the Lie classical symmetry method. The obtained solutions are in terms of trigonometric functions and hyperbolic functions. This equation can ...
Invariance analysis, exact solution and conservation laws of (2 + 1) dim fractional kadomtsev-petviashvili (kp) system
(MDPI AG, 2021-03-16)
In this work, a Lie group reduction for a (2 + 1) dimensional fractional Kadomtsev-Petviashvili (KP) system is determined by using the Lie symmetry method with Riemann Liouville derivative. After reducing the system into ...