Department Of Mathematics And Statistics

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Browsing Department Of Mathematics And Statistics by Author "Baljinder Kour"

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    Symmetry analysis, explicit power series solutions and conservation laws of space-time fractional variant Boussinesq system
    (Springer, 2018) Baljinder Kour; Sachin Kumar
    In this study, the classical Lie symmetry method is successfully applied to investigate the symmetries of the space-time fractional variant Boussinesq system which was introduced as a model of water waves. With the help of the obtained symmetries, the governing system is reduced into the system of nonlinear fractional ordinary differential equations (NLFODEs) which contains Erdèlyi-Kober fractional differential operators via Riemann-Liouville fractional derivative. The system is also studied for the explicit power series solution. The obtained power series solution is further examined for the convergence. The conservation laws of the governing system are constructed by using the new conservation theorem and generalization of the Noether operators. The numerical approximation for the fractional system is also found by using the residual power series method (RSPM). Some figures are also presented to explain the physical understanding for both explicit and approximate solutions.