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Four-dimensional 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 ...
A Simple Probabilistic Proof for the Alternating Convolution of the Central Binomial Coefficients
(American Statistical Association, 2018)
This note presents a simple probabilistic proof of the identity for the alternating convolution of the central binomial coefficients. The proof of the identity involves the computation of moments of order n for the product ...
Symmetry Analysis of Variable-Coefficient Time-Fractional Nonlinear Systems of Partial Differential Equations
(Pleiades Publishing, 2018)
We investigate some well-known variable-coefficient time-fractional nonlinear systems of partial differential equations using the Lie symmetry method and derive their symmetries and reductions into fractional nonlinear ...
Symmetry analysis, explicit power series solutions and conservation laws of space-time fractional variant Boussinesq system
(Springer, 2018)
In this study, the classical Lie symmetry method is successfully applied to investigate the symmetries of the space-time fractional variant Boussinesq system which was introduced as a model of water waves. With the help ...
On the L-duality of a Finsler space with exponential metric αeβ/α
(De Gruyter, 2018)
The (α, β)-metrics are the most studied Finsler metrics in
Finsler geometry with Randers, Kropina and Matsumoto metrics being
the most explored metrics in modern Finsler geometry. The L-dual of
Randers, Kropina and Matsumoto ...
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.
Invariants of Generalized Fifth Order Non-Linear Partial Differential Equation
(IntechOpen, 2018)
The fifth order non-linear partial differential equation in generalized form is analyzed for Lie symmetries. The classical Lie group method is performed to derive similarity variables of this equation and the ordinary ...
Exact Solutions of Some Complex Non-Linear 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.
Invariance properties, conservation laws, and soliton solutions of the time-fractional (2 + 1) -dimensional new coupled ZK system in magnetized dusty plasmas
(Springer Science and Business Media, LLC, 2018)
This paper investigates time-fractional (2+1)-dimensional new coupled Zakharov–Kuznetsov system for the invariance properties, conservation laws, and soliton solutions. Lie infinitesimal symmetries and corresponding ...