RSS 1.0Department of Mathematics and Statistics
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Optical solitons with generalized anti-cubic nonlinearity by Lie symmetry
(Elsevier GmbH, 2020)Lie symmetry analysis handled the nonlinear Schr�dinger's equation that is studied with generalized anti-cubic nonlinear form. These yielded bright, dark and singular optical soliton solutions as well as a bright-singular ... -
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 S -curvature of a homogeneous Finsler space with square metric
(World Scientific Publishing Co. Pte Ltd, 2020)The study of curvature properties of homogeneous Finsler spaces with (?,?)-metrics is one of the central problems in Riemann-Finsler geometry. In this paper, the existence of invariant vector fields on a homogeneous Finsler ... -
Comment on "On the conservation laws and invariant analysis for time-fractional coupled Fitzhugh-Nagumo equations using the Lie symmetry analysis" by S. Sahoo and S. S. Ray
(Springer, 2020)This comment deals with �On the conservation laws and invariant analysis for time-fractional coupled Fitzhugh�Nagumo equations using Lie symmetry analysis� by Sahoo and Ray (Eur Phys J Plus 134:83, 2019). The authors used ... -
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 ... -
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 ... -
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 ... -
Homogeneous Finsler space with infinite series (?,?)-metric
(Balkan Society of Geometers, 2019)In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series (?, ?)-metric. Next, we deduce an explicit formula for the the S-curvature of homogeneous Finsler ... -
Naturally Reductive Homogeneous Space with an Invariant (?, ?)-Metric
(Pleiades Publishing, 2019)In this paper, first we derive an explicit formula for the flag curvature of a homogeneous Finsler space with exponential metric. Next, we deduce it for naturally reductive homogeneous Finsler space with afore said metric. ... -
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 ... -
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 ... -
Comment on �Time fractional third-order variant Boussinesq system: Symmetry analysis, explicit solutions, conservation laws and numerical approximations� by Fairouz Tchier et al.
(Springer Verlag, 2019)[No abstract available] -
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, ... -
Space time fractional Drinfel'd-Sokolov-Wilson system with time-dependent variable coefficients: Symmetry analysis, power series solutions and conservation laws
(Springer Verlag, 2019)In this work we aim to apply the Lie-symmetry method via the Riemann-Liouville fractional derivative based on continuous group of transformations to examine the symmetry reduction of space time fractional Drinfel'd-Sokolov-Wilson ... -
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 ... -
Time fractional Biswas–Milovic equation: Group analysis, soliton solutions, conservation laws and residual power series solution
(Elsevier, 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 ... -
Invariant traveling wave solutions of parity-time-symmetric mixed linear-nonlinear optical lattices with three types of nonlinearity
(Institute of Physics Publishing, 2019)This paper focuses on the complex nonlinear Schrö dinger equation for the propagation of optical pulses in the nonlinear media with imprinted parity-time symmetric mixed linear-nonlinear optical lattices. Three types of ... -
Optical solitons and other solutions with anti-cubic nonlinearity by Lie symmetry analysis and additional integration architectures
(Elsevier, 2019)In this work, symmetry reduction for nonlinear Schrödinger's equation with anti-cubic nonlinearity is determined by using the invariance of equations under Lie group of transformations. Using the similarity transformations ... -
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 ...
