Traveling wave solutions of conformable time-fractional Zakharov–Kuznetsov and Zoomeron equations |
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| Institution: | 1. Tire Kutsan Vocational School, Ege University, İzmir, Turkey;2. Bioengineering Department, Faculty of Engineering, Ege University, İzmir, Turkey;1. Graduate School of Systems and Information Engineering, University of Tsukuba, Tennodai 1-1-1, Tsukuba, Ibaraki, Japan;2. Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj 8100, Bangladesh;3. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia;4. Mathematics Department, Faculty of Science, Beni-Suef University, Egypt;5. Department of Mathematics, Islamic University, Kushtia, Bangladesh;1. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran;2. Tire Kutsan Vocational School, Ege University, İzmir, Turkey;3. Department of Mathematics, Mirpur University of Science and Technology, Mirpur (AJK) 10250, Pakistan;4. Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran;5. Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, Turkey |
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| Abstract: | To model physical phenomena more accurately, fractional order differential equations have been widely used. Investigating exact solutions of the fractional differential equations have become more important because of the applications in applied mathematics, mathematical physics, and other areas. In this work, by means of the trial solution method and complete discrimination system, exact traveling wave solutions of the conformable time-fractional Zakharov–Kuznetsov equation and conformable time-fractional Zoomeron equation have been obtained and also solutions have been illustrated. Finding exact solutions of these equations that are encountered in plasma physics, nonlinear optics, fluid mechanics, and laser physics can help to understand nature of the complex phenomena. |
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