Mathematics And Statistics - Research Publications

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On new symmetry, series solution and conservation laws of nonlinear coupled Higgs field equation
(Springer, 2020) Kumari, P; Gupta, R.K; Kumar, S.
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 are obtained. Explicit convergent infinite series solution of the reduced system is obtained. Local conservation laws of the system are derived by the multiplier approach. 2020, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
On explicit exact solutions of variable-coefficient time-fractional generalized fifth-order Korteweg-de Vries equation
(Springer, 2019) Gupta, R.K; Kaur, J.
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 exact solutions for the reduced ordinary differential equations of fractional order. © 2019, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.