Browsing by Subject "Conservation laws"
Now showing items 1-10 of 17
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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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
Invariance properties, conservation laws, and soliton solutions of the time-fractional (2 + 1) -dimensional new coupled ZK system in magnetized dusty plasmas
(Springer Science and Business Media, LLC, 2018)This paper investigates time-fractional (2+1)-dimensional new coupled Zakharov–Kuznetsov system for the invariance properties, conservation laws, and soliton solutions. Lie infinitesimal symmetries and corresponding ... -
Invariant Bianchi type I cosmological models and conservation laws in f(R,T)=f1(R)+f2(R)f3(T) gravity
(Elsevier B.V., 2023-05-12)f(R,T) theory of gravity can explain the dark energy and the observed late time acceleration of the universe even without cosmological constant. It passes the solar system test and appears to be an alternative of dark ... -
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 ... -
On Group Classification and Nonlocal Conservation Laws for a Multiphase Flow Model
(Springer, 2017)The main objective of this study is five dimensional Lie algebra which describes the symmetry properties of a isothermal drift flux model of two phase flows. The classification provided is based on method given by Patera ... -
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 ...