Browsing by Title
Now showing items 2245-2264 of 3506
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On explicit exact solutions of variable-coefficient time-fractional generalized fifth-order Korteweg-de Vries equation
(Springer, 2019)We investigate the variable-coefficient time-fractional generalized fifth-order Korteweg-de Vries equation for admissible forms of the variable coefficients under the condition of invariance, and derive certain explicit ... -
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 ... -
On invariant analysis and conservation laws for degenerate coupled multi-KdV equations for multiplicity l= 3
(Springer, 2019)The degenerate coupled multi-Korteweg–de Vries equations for coupled multiplicity l= 3 are studied. The equations, also known as three-field Kaup–Boussinesq equations, are considered for invariant analysis and conservation ... -
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 ... -
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 ... -
On Invariant Analysis, Symmetry Reduction and Conservation Laws of�Nonlinear Buckmaster Model
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)In this work, a systematic investigation�on invariant analysis of Buckmaster model, raised�in mathematical physics, is performed. A general set�of symmetries and corresponding reductions of the considered equation are ... -
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 ... -
On new symmetries and exact solutions of Einstein�s field equation for perfect fluid distribution
(Springer, 2021-07-27)Some new infinite-dimensional generalised Lie symmetries of Einstein�s field equations for perfect fluid distribution are found by using the Lie symmetry analysis. The reduced ordinary differential equations are solved to ... -
On new symmetry, series solution and conservation laws of nonlinear coupled Higgs field equation
(Springer, 2020)The work presents systematic investigations on invariant analysis and the analytic solution of the second order Higgs equation. On employing Lie classical approach, new symmetry and the corresponding reduction of the system ... -
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. ... -
On Randers Conformal Transformation of m-th Root Metric
(Springer, 2021-12-07)In this paper, we present the theory of Randers conformal transformation of m-th root metric. We find a condition under which Randers conformal transformed m-th root metric is projectively related to m-th root metric. ... -
On S -curvature of a homogeneous Finsler space with square metric
(World Scientific Publishing Co. Pte Ltd, 2020)The study of curvature properties of homogeneous Finsler spaces with (?,?)-metrics is one of the central problems in Riemann-Finsler geometry. In this paper, the existence of invariant vector fields on a homogeneous Finsler ... -
On soft closed graph and its characterizations
(Forum-Editrice Universitaria Udinese SRL, 2021-12-22)In this paper, we first introduce soft graph and soft closed graph of a soft mapping. Among other results, we obtain characterization of soft closed graph of identity soft mapping and characterization of soft-closedness ... -
On stability analysis and existence of positive solutions for a general non-linear fractional differential equations
(Springer, 2020)In this article, we deals with the existence and uniqueness of positive solutions of general non-linear fractional differential equations (FDEs) having fractional derivative of different orders involving p-Laplacian operator. ... -
On the existence and uniqueness of a nonlinear q -difference boundary value problem of fractional order
(World Scientific, 2021-09-23)In this research collection, we estimate the existence of the unique solution for the boundary value problem of nonlinear fractional q-difference equation having the given form cD q?v(t) - h(t,v(t))=0, 0 ? t ? 1, ?1v(0) + ... -
On the flag curvature of a homogeneous Finsler space with generalized m-Kropina metric
(Balkan Society of Geometers, 2022-03-01)In this paper, first, we give an explicit formula for the flag curvature of a homogeneous Finsler space with generalized m-Kropina metric. Then, we show that, under a mild condition, the two definitions of naturally reductive ... -
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 ... -
On the Matsumoto change of a finsler space with MTH-ROOT metric
(University of, 2017)In the present paper, we find a condition under which a Finsler space with Matsumoto change of mth-root metric is projectively related to a mth-root metric and also we find a condition under which this Matsumoto transformed ... -
On the Mild Solutions of Impulsive Semilinear Fractional Evolution Equations
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)In this manuscript, we establish the existence result of mild solutions for semilinear fractional evolution equations of order 1 < ?< 2 with impulsive conditions. The existence result is obtained by means of analytic ... -
On the Reversible Geodesics for a Finsler Space with Randers Change of Quartic Metric
(Chiang Mai University, 2022-03-31)In this paper, we consider a Finsler space with a Randers change of Quartic metric F =4 ??4+?4+?. The conditions for this space to be with reversible geodesics are obtained. Further, we study some geometrical properties ...