Exact Solutions and Optical Soliton Solutions of the Nonlinear Biswas-Milovic Equation with Dual-Power Law Nonlinearity |

E.M.E. Zayed
^{a} and A.-G. Al-Nowehy^{b,c}^{a}Department of Mathematics, Faculty of Sciences, Zagazig University, Zagazig, Egypt
^{b}Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Hiliopolis, Cairo, Egypt
^{c}Department of Mathematics, Faculty of Education and Science, Taiz University, Taiz, Yemen |

Received: May 9, 2016; In final form: January 16, 2017 |

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In this article, we apply two mathematical tools, namely the first integral method and the rational (G'/G)-expansion method to construct the exact solutions with parameters of the nonlinear Biswas-Milovic equation with dual-power law nonlinearity. When these parameters take special values, the solitary wave solutions are derived from the exact solutions. We compare between the results yielding from these integration tools. A comparison between our results in this paper and the well-known results is also given. |

DOI: 10.12693/APhysPolA.131.240 PACS numbers/topics: first integral method, rational (G'/G)-expansion method, Biswas-Milovic equation, solitary wave solutions, exact solutions and optical soliton solutions |