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    Exact solutions and linearization of modified emden equation
    (Altınbaş Üniversitesi, 2020) Orhan, Özlem; Milani, Bahar; Milani, Muhammed
    In this study, we present that the modified Emden equation has invariant solutions for arbitrary coefficients α and β. Firstly, we demonstrated that modified Emden equation can be linearized. The symmetries of the equation can be derived using a feasible algorithm after this equation is linearized. The exact solutions of the equation are found using a new algorithm and with helping these symmetries. Additionally, finding solutions are classified with respect to the physical meaning of arbitrary coefficients. Finally, all graphics of solutions have been presented with Mathematica and Matlab.