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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 ...
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 ...
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 ...
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 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 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 ...
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 ...