Browsing Mathematics and Statistics-Research Publications by Issue Date
Now showing items 1-20 of 208
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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 ... -
ON R-COMPLEX FINSLER SPACES WITH SPECIAL (α, β)-METRIC
(Academic Publications, Ltd., 2016)In the present paper, the notion of R-complex Finsler space with 2 special (α, β)-metric α + ǫβ + λ β α (where ǫ, λ 6 = 0 are constants ) which is the generalization of Randers metric and Z. Shen’s square metric is defined. ... -
Nonholonomic frames for a Finsler space with general (α, β)-Metric
(Academic Publications, Ltd., 2016)The main purpose of this paper is to first determine the two Finsler deformations 2 of the special (α, β)-metric F = α + ǫβ + k β α , where ǫ and k are constants. Consequently, we obtain the nonholonomic frame for Finsler ... -
Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis
(National Institute of Optoelectronics, 2016)This paper studies similarity solutions of Kundu-Eckhaus (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 ... -
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 weakly-Berwald space as another generalization of Berwald spaces. In 1972, M. Matsumoto ... -
On the Riemann and Ricci Curvature of Finsler Spaces with Special (α, β)- Metric
(The Educational Publisher Inc., 2016)In this paper, we study the curvature properties of the special (α, β)- metric β 2 (where ǫ, k 6 = 0 are constants). We find the expressions for Riemann α curvature and Ricci curvature of the special (α, β)-metric, when ... -
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, Hirota-Satsuma coupled KdV ... -
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 ... -
A new RGB image encryption algorithm based on DNA encoding and elliptic curve Diffie-Hellman cryptography
(Elsevier B.V., 2016)With the increasing use of media in communications, there is a need for image encryption for security against attacks. In this paper, we have proposed a new algorithm for image security using Elliptic Curve Cryptography ... -
A note on "A fuzzy approach to transport optimization problem"
(Springer New York LLC, 2016)Sudhagar and Ganesan (Optim Eng, 2012, doi:10.1007/s11081-012-9202-6) proposed an approach to find the fuzzy optimal solution of such fuzzy transportation problems in which all the parameters are represented by fuzzy ... -
Invariant solutions of Biswas-Milovic equation
(Springer Netherlands, 2017)The Biswas-Milovic 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 ... -
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 ... -
On Kropina-Randers change of mth-root Finsler metric
(Pushpa Publishing House, 2017)In the present paper, we consider the Kropina-Randers change of mth root Finsler metric. Firstly, we find the fundamental metric tensors of the Kropina-Randers 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 ... -
Numerical Solution of Fractional Model for Heat Conduction in Polar Bear Hairs Equation by q- homotopy Analysis Method (q-HAM)
(IJMAA, 2017)In this paper, we consider the fractional model for heat conduction in polar bear hairs equation. A relatively new method called the q-homotopy analysis method (q-HAM) is adopted to obtain an analytical solution of the ... -
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 ... -
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 ... -
On invariant analysis of space-time 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 ... -
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 self-adjointness and Noether operators is proposed for calculating conserved vectors of the time fractional nonlinear systems of partial differential equations. In ... -
Soliton and quasi-periodic wave solutions for b-type 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. ...