Browsing by Author "Gupta, R. K."
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Item Comment on “Lie symmetries and group classification of a class of time fractional evolution systems” [J. Math. Phys. 56, 123504 (2015)](Springer, 2017) Singla, Komal; Gupta, R. K.In this article, the prolongation formulae proposed in Huang and Shen [J. Math. Phys. 56, 123504 (2015)] for the analysis of time fractional systems of are proved incomplete and the required correct prolongation operators are suggested. With the help of some examples, the efficiency of the operators introduced in this study is illustrated.Item Nonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility method(Springer Netherlands, 2017) Gupta, R. K.; Singh, Manjit; Gupta, R.K.; Singh, M.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 subalgebras, and using well-known methodologies, several traveling wave solutions are also obtained for every reduction. ? 2016, Springer Science+Business Media Dordrecht.Item Space–time fractional nonlinear partial differential equations: symmetry analysis and conservation laws(Springer, 2017) Singla, Komal; Gupta, R. K.The symmetry method is developed to study space–time fractional nonlinear partial differential equations. Also, the Noether operators are extended for determining the conservation laws by application to some physically significant space–time fractional nonlinear partial differential equations.