New periodic wave solutions of a time fractional integrable shallow water equation |
| |
| Institution: | 1. Yildiz Technical University, Education Faculty, Mathematics Education Department, Istanbul, Turkey;2. Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics-Computer, Eskisehir, Turkey;1. School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, People’s Republic of China;2. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, People’s Republic of China;3. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada;4. China Medical University, Taichung 40402, Taiwan, Republic of China;1. Department of Natural and Mathematical Sciences, Faculty of Engineering, Ozyegin University, Cekmekoy 34794, Istanbul, Turkey;2. Faculty of Engineering and Natural Sciences, Sabanci University, Tuzla 34956, Istanbul, Turkey |
| |
| Abstract: | In this paper, author employed Jacobi elliptic function expansion method to build the new wave solutions of time fractional modified Camassa–Holm equation which is completely integrable dispersive shallow-water equation. In ocean engineering, Camassa–Holm equation is generally used as a tool in computer simulation of the water waves in shallow sees, coastal and harbors. The obtained solutions show that the Jacobi elliptic function expansion method (JEFEM) which based on Jacobi elliptic functions is an efficient, reliable, applicable and accurate tool for analytic approximation of a wide variety of nonlinear conformable time fractional partial differential equations. |
| |
| Keywords: | Jacobi elliptic function expansion method Modified Camassa–Holm equation Conformable fractional derivative Traveling wave solutions |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
