Department Of Mathematics And Statistics

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    Invariants of Generalized Fifth Order Non-Linear Partial Differential Equation
    (IntechOpen, 2018) Kumar, Sachin
    The fifth order non-linear partial differential equation in generalized form is analyzed for Lie symmetries. The classical Lie group method is performed to derive similarity variables of this equation and the ordinary differential equations (ODEs) are deduced. These ordinary differential equations are further studied and some exact solutions are obtained.
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    Invariant solutions of Biswas-Milovic equation
    (Springer Netherlands, 2017) Kumar, Sachin
    The Biswas-Milovic equation in generalized form and with power law nonlinearity is analyzed for Lie symmetries. The classical Lie group method is applied to derive symmetries of this equation, and the ordinary differential equations deduced are further studied; and some exact solutions are obtained. ? 2016, Springer Science+Business Media Dordrecht.