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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 ...