We analytically study the exact solitary wave solutions of the perturbed nonlinear Biswas-Milovic equation with Kudryashov's law of refractive index, which describes the propagation of pulses of various types in optical fiber. We apply three efficient and reliable schemes, specifically, the simple equation method, the (G'/G)-expansion method, and the new Kudryashov method. These approaches lead to a range of solitons and other solutions comprising of the bright solitons, dark solitons, singular solitons, periodic, rational, and exponential solutions. These solutions are also presented graphically. Furthermore, all obtained solutions are verified by symbolic computations.
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Mathematics Department, Faculty of Science, Zagazig University, Zagazig,44519, EgyptMathematics Department, Faculty of Science, Zagazig University, Zagazig,44519, Egypt
Zayed, Elsayed M.E.
Gepreel, Khaled A.
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Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif,21944, Saudi ArabiaMathematics Department, Faculty of Science, Zagazig University, Zagazig,44519, Egypt
Gepreel, Khaled A.
Shohib, Reham M.A.
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Mathematics Department, Faculty of Science, Zagazig University, Zagazig,44519, EgyptMathematics Department, Faculty of Science, Zagazig University, Zagazig,44519, Egypt
Shohib, Reham M.A.
Alngar, Mohamed E.M.
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Mathematics Department, Faculty of Science, Zagazig University, Zagazig,44519, EgyptMathematics Department, Faculty of Science, Zagazig University, Zagazig,44519, Egypt
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Northeast Petr Univ, Dept Math, Daqing, Peoples R ChinaNortheast Petr Univ, Dept Math, Daqing, Peoples R China
Li, Shuang
Du, Xing-Hua
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Northeast Petr Univ, Dept Math, Daqing, Peoples R China
Northeast Petr Univ, Dept Math, Daqing 163318, Peoples R ChinaNortheast Petr Univ, Dept Math, Daqing, Peoples R China
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Department of Mathematics - Computer, Art-Science Faculty, Eskisehir Osmangazi University, Eskisehir, TurkeyDepartment of Engineering Sciences, Faculty of Technology and Engineering,East of Guilan, University of Guilan, Rudsar-Vajargah, Iran
Akbulut, Arzu
Taşcan, Filiz
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Department of Mathematics - Computer, Art-Science Faculty, Eskisehir Osmangazi University, Eskisehir, TurkeyDepartment of Engineering Sciences, Faculty of Technology and Engineering,East of Guilan, University of Guilan, Rudsar-Vajargah, Iran
Taşcan, Filiz
Akinyemi, Lanre
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Department of Mathematics, Lafayette College, Easton,PA, United StatesDepartment of Engineering Sciences, Faculty of Technology and Engineering,East of Guilan, University of Guilan, Rudsar-Vajargah, Iran