Search
Now showing items 1-10 of 10
On invariant analysis and conservation laws for degenerate coupled multi-KdV equations for multiplicity l= 3
(Springer, 2019)
The degenerate coupled multi-Korteweg–de Vries equations for coupled multiplicity l= 3 are studied. The equations, also known as three-field Kaup–Boussinesq equations, are considered for invariant analysis and conservation ...
Multiple types of exact solutions and conservation laws of new coupled (2 + 1) -dimensional Zakharov–Kuznetsov system with time-dependent coefficients
(Springer, 2019)
This paper investigates the new coupled (2 + 1) -dimensional Zakharov–Kuznetsov (ZK) system with time-dependent coefficients for multiple types of exact solutions by using the Lie symmetry transformation method. Similarity ...
Group classification, conservation laws and Painlevé analysis for Klein–Gordon–Zakharov equations in (3 + 1)-dimension
(Springer, 2019)
In this paper, we study Klein–Gordon–Zakharov equations which describe the propagation of strong turbulence of the Langmuir wave in a high-frequency plasma. Using the symbolic manipulation tool Maple, the classifications ...
Symmetry analysis of some nonlinear generalised systems of space–time fractional partial differential equations with time-dependent variable coefficients
(Springer, 2019)
In this paper, the Lie group analysis method is applied to carry out the Lie point symmetries of some space–time fractional systems including coupled Burgers equations, Ito’s system, coupled Korteweg–de-Vries (KdV) equations, ...
Multiple types of exact solutions and conservation laws of new coupled (2 + 1) -dimensional Zakharov-Kuznetsov system with time-dependent coefficients
(Springer, 2019)
This paper investigates the new coupled (2 + 1) -dimensional Zakharov-Kuznetsov (ZK) system with time-dependent coefficients for multiple types of exact solutions by using the Lie symmetry transformation method. Similarity ...
Group classification, conservation laws and Painlev analysis for Klein–Gordon–Zakharov equations in (3 + 1)-dimension
(Springer, 2019)
In this paper, we study Klein–Gordon–Zakharov equations which describe the propagation of strong turbulence of the Langmuir wave in a high-frequency plasma. Using the symbolic manipulation tool Maple, the classifications ...
On analytic series solutions and conserved fluxes of the time fractional (2+1)-dimensional Burger's system via invariant approach
(Taylor and Francis Ltd., 2021-12-07)
The article investigates some new properties such as invariant transformations, conserved vectors, and closed-form series solutions of (2+1) dimensional nonlinear coupled Burger system, a model of the evolution of the ...
Optical soliton solutions of the conformable time fractional Radhakrishnan�Kundu�Lakshmanan Model
(Springer, 2022-09-13)
In the present study, we have obtained different kinds of wave solutions which possess distinctive physical characteristics of the nonlinear conformable time fractional Radhakrishnan�Kundu�Lakshmanan model by utilizing the ...
Invariant solutions and conservation laws of Einstein field equations in non-comoving radiation fields
(Physical Society of the Republic of China, 2021-01-08)
The exact non-static accelerating solutions of Einstein field equations in non-comoving pure radiation fields, corresponding to an indefinite non-degenerate metric in cartesian coordinates, are obtained. The gravitational ...
On new symmetries and exact solutions of Einstein�s field equation for perfect fluid distribution
(Springer, 2021-07-27)
Some new infinite-dimensional generalised Lie symmetries of Einstein�s field equations for perfect fluid distribution are found by using the Lie symmetry analysis. The reduced ordinary differential equations are solved to ...