Browsing Mathematics and StatisticsResearch Publications by Submit Date
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Numerical Solution of Fractional Model for Heat Conduction in Polar Bear Hairs Equation by q homotopy Analysis Method (qHAM)
(IJMAA, 2017)In this paper, we consider the fractional model for heat conduction in polar bear hairs equation. A relatively new method called the qhomotopy analysis method (qHAM) is adopted to obtain an analytical solution of the ... 
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 ... 
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 ... 
Soliton and quasiperiodic wave solutions for btype Kadomtsev–Petviashvili equation
(Springer, 2017)In this paper, truncated Laurent expansion is used to obtain the bilinear equation of a nonlinear evolution equation. As an application of Hirota’s method, multisoliton solutions are constructed from the bilinear equation. ... 
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 ... 
On invariant analysis of some time fractional nonlinear systems of partial differential equations. I
(American Institute of Physics Inc., 2016)An investigation of Lie point symmetries for systems of time fractional partial differential equations including Ito system, coupled Burgers equations, coupled Korteweg de Vries equations, HirotaSatsuma coupled KdV ... 
On invariant analysis of spacetime fractional nonlinear systems of partial differential equations. ii
(American Institute of Physics Inc., 2017)In Paper I [Singla, K. and Gupta, R. K., J. Math. Phys. 57, 101504 (2016)], Lie symmetry method is developed for time fractional systems of partial differential equations. In this article, the Lie symmetry approach is ... 
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 ... 
Space–time fractional nonlinear partial differential equations: symmetry analysis and conservation laws
(Springer, 2017)The symmetry method is developed to study space–time fractional nonlinear partial differential equations. Also, the Noether operators are extended for determining the conservation laws by application to some physically ... 
Nonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility method
(Springer Netherlands, 2017)The variable coefficient KdV system is investigated for nonclassical symmetries using compatibility method, and more general symmetries are reported. Several inequivalent reductions are obtained using optimal system of ... 
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 ... 
Solitons and other solutions to Wu–Zhang system
(Vilnius University, 2017)This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves, and singular solitary waves solutions. Subsequently, Lie group formalism is ... 
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 ... 
Optical solitons in nanofibers with KunduEckhaus equation by Lie symmetry analysis
(National Institute of Optoelectronics, 2016)This paper studies similarity solutions of KunduEckhaus (KE) equation that models wave propagation in a dispersive medium such as in optical waveguide. Lie classical method is applied to obtain symmetries of KE equation ... 
Painlevé analysis and invariant solutions of Vakhnenko–Parkes (VP) equation with power law nonlinearity
(Springer, 2016)The Vakhnenko–Parkes (VP) equation with power law nonlinearity is analyzed for Painlevé test and for Lie symmetries. The Painlevé analysis of Vakhnenko–Parkes equation with power law nonlin earity is performed by 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 ... 
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 ... 
On KropinaRanders change of mthroot Finsler metric
(Pushpa Publishing House, 2017)In the present paper, we consider the KropinaRanders change of mth root Finsler metric. Firstly, we find the fundamental metric tensors of the KropinaRanders transformed mth root Finsler metric, and then the necessary ... 
REVERSIBLE GEODESICS OF FINSLER SPACES WITH A SPECIAL (α, β)METRIC
(Calcutta Mathematical Society, 2017)A Finsler space is said to have reversible geodesics if for every one of its oriented geodesic paths, the same path traversed in the opposite sense is also a geodesic. In the last decade some work has been done on the ... 
On a New Class of Weakly Berwald Spaces with (α, β)metric
(SCIENCEDOMAIN international, 2016)We have two concepts of Douglas spaces and Landsberg spaces as generalizations of Berwald spaces. S. Bacso [1] gave the definition of a weaklyBerwald space as another generalization of Berwald spaces. In 1972, M. Matsumoto ...