Browsing Mathematics and StatisticsResearch Publications by Title
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Characteristic Properties of the Indicatrix Under a Kropina Change of Finsler Metric
(Chinese Academy of Sciences: Beijing, China, 2018)The theory of β−change in Finsler geometry was first introduced by C. Shibata in [13]. In this paper, we study the behaviour of Indicatrices under a special β−change, known as Kropina change of Finsler metric. 
Comment on "On the conservation laws and invariant analysis for timefractional coupled FitzhughNagumo 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 timefractional coupled FitzhughNagumo equations using Lie symmetry analysis'' by Sahoo and Ray (Eur Phys J Plus 134:83, 2019). The authors ... 
Comment on “Lie symmetries and group classification of a class of time fractional evolution systems” [J. Math. Phys. 56, 123504 (2015)]
(Springer, 2017)In this article, the prolongation formulae proposed in Huang and Shen [J. Math. Phys. 56, 123504 (2015)] for the analysis of time fractional systems of are proved incomplete and the required correct prolongation operators ... 
Comment on “Time fractional thirdorder variant Boussinesq system: Symmetry analysis, explicit solutions, conservation laws and numerical approximations” by Fairouz Tchier et al.
(Springer Verlag, 2019)[No abstract available] 
Conservation laws for certain time fractional nonlinear systems of partial differential equations
(Elsevier B.V., 2017)In this study, an extension of the concept of nonlinear selfadjointness and Noether operators is proposed for calculating conserved vectors of the time fractional nonlinear systems of partial differential equations. In ... 
Dispersion analysis and improved Fexpansion method for space–time fractional differential equations
(Springer, 2019)In this article, an improved Fexpansion 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 Fexpansion method for space–time fractional differential equations
(Springer Netherlands, 2019)In this article, an improved Fexpansion method with the Riccati equation is suggested for spacetime fractional differential equations for exact solutions. The fractional complex transformation is used to convert the ... 
Embedded Solitons and Conservation Law with χ (2) and χ (3) Nonlinear Susceptibilities
(2017)This paper studies embedded solitons that are confined to continuous spectrum, with χ (2) and χ (3) nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficient ... 
Exact solutions for nonlinear evolution equations using novel test function
(Springer Netherlands, 2016)Based on Bell polynomials approach, in this paper we have used Maple computer algebra package PDEBellII for constructing bilinear equations for some nonlinear evolution equations. Bilinear equations are then used to construct ... 
Exact Solutions of Some Complex NonLinear 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. 
Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations
(Springer, 2020)In this paper, we investigate the existence of mild solutions for neutral Hilfer fractional evolution equations with noninstantaneous impulsive conditions in a Banach space. We obtain the existence results by applying the ... 
Existence of solutions for fractional Langevin equation involving generalized Caputo derivative with periodic boundary conditions
(American Institute of Physics Inc., 2020)In this article, we investigate the existence and uniqueness(EU) of solutions for nonlinear Langevin fractional differ ential equation (FDEs) in term of generalized Caputo fractional derivative(GCFD) of two distinct ... 
Fourdimensional conformally flat Berwald and Landsberg spaces
(Informatics Publishing Limited and The Indian Mathematical Society, 2018)The problem of conformal transformation and conformal atness of Finsler spaces has been studied in [6], [16], [17], [20], [21]. Recently, Prasad et. al [19] have studied three dimensional conformally at Landsberg and Berwald ... 
Generalized Lie symmetry approach for fractional order systems of differential equations. III
(American Institute of Physics Inc., 2017)The generalized Lie symmetry technique is proposed for the derivation of point symmetries for systems of fractional differential equations with an arbitrary number of independent as well as dependent variables. The efficiency ... 
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 highfrequency plasma. Using the symbolic manipulation tool Maple, the classifications ... 
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 highfrequency 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 Scurvature of homogeneous Finsler ... 
Invariant solutions of BiswasMilovic equation
(Springer Netherlands, 2017)The BiswasMilovic equation in generalized form and with power law nonlinearity is analyzed for Lie symmetries. The classical Lie group method is applied to derive symmetries of this equation, and the ordinary differential ... 
Invariant traveling wave solutions of paritytimesymmetric mixed linearnonlinear 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 paritytime symmetric mixed linearnonlinear optical lattices. Three types of ...