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Symmetry analysis of some nonlinear generalised systems of space–time fractional partial differential equations with time-dependent variable coefficients
(Springer, 2019)
In this paper, the Lie group analysis method is applied to carry out the Lie point symmetries of some space–time fractional systems including coupled Burgers equations, Ito’s system, coupled Korteweg–de-Vries (KdV) equations, ...
Time fractional Biswas–Milovic equation: Group analysis, soliton solutions, conservation laws and residual power series solution
(Elsevier GmbH, 2019)
In this work, we studied time fractional Biswas–Milovic equation (FBME) which describes the long distance optical communication with Kerr law nonlinearity. We analyzed group analysis of equation by using Lie symmetry ...
Comment on “Time fractional third-order variant Boussinesq system: Symmetry analysis, explicit solutions, conservation laws and numerical approximations” by Fairouz Tchier et al.
(Springer Verlag, 2019)
[No abstract available]
Optical solitons with generalized anti-cubic nonlinearity by Lie symmetry
(Elsevier GmbH, 2020)
Lie symmetry analysis handled the nonlinear Schrodinger's equation that is studied with generalized anti-cubic nonlinear form. These yielded bright, dark and singular optical soliton solutions as well as a bright-singular ...
Space time fractional Drinfel'd-Sokolov-Wilson system with time-dependent variable coefficients: Symmetry analysis, power series solutions and conservation laws
(Springer Verlag, 2019)
In this work we aim to apply the Lie-symmetry method via the Riemann-Liouville fractional derivative based on continuous group of transformations to examine the symmetry reduction of space time fractional Drinfel'd-Sokolov-Wilson ...
On explicit exact solutions and conservation laws for time fractional variable - coefficient coupled Burger's equations
(Elsevier B.V., 2020)
In this paper, we investigate time fractional variable-coefficient coupled Burger's equations for admissible form of variable coefficients under the condition of invariance. The reduced form of systems is obtained by using ...
Comment on "On the conservation laws and invariant analysis for time-fractional coupled Fitzhugh-Nagumo equations using the Lie symmetry analysis" by S. Sahoo and S. S. Ray
(Springer, 2020)
This comment deals with '' On the conservation laws and invariant analysis for time-fractional coupled Fitzhugh-Nagumo equations using Lie symmetry analysis'' by Sahoo and Ray (Eur Phys J Plus 134:83, 2019). The authors ...