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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 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 ...
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 ...
Nonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility method
(Springer Netherlands, 2017)
The variable coefficient KdV system is investigated for nonclassical symmetries using compatibility method, and more general symmetries are reported. Several inequivalent reductions are obtained using optimal system of ...
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 ...
Dispersion analysis and improved F-expansion method for space–time fractional differential equations
(Springer, 2019)
In this article, an improved F-expansion method with the Riccati equation is suggested for space–time fractional differential equations for exact solutions. The fractional complex transformation is used to convert the ...
Multiple types of exact solutions and conservation laws of new coupled (2 + 1) -dimensional Zakharov–Kuznetsov system with time-dependent coefficients
(Springer, 2019)
This paper investigates the new coupled (2 + 1) -dimensional Zakharov–Kuznetsov (ZK) system with time-dependent coefficients for multiple types of exact solutions by using the Lie symmetry transformation method. Similarity ...