Ray method for surface waves on a ferromagnetic fluid |
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| Affiliation: | 1. Department of Civil Engineering, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China;2. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 20044, China;3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, China;1. Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi''an 710123, China;2. Research and Development Center of Intelligent Control Technology, School of Science, Xijing University, Xi''an 710123, China;3. Department of Electrical Engineering, Golpayegan University of Technology, Golpayegan, Iran;4. Department of Information Technology, Faculty of Computing and IT, King Abdulaziz University, Jeddah, Saudi Arabia;5. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;6. NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;7. Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam |
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| Abstract: | ![]()
The ray method, or geometrical optics method, is used to study surface waves on a ferromagnetic fluid of variable depth. Both time-dependent and time-reduced cases are considered on the basis of the shallow-water approximation. An application of the time-reduced ray method leads to the discovery of edge waves on a ferromagnetic fluid over a uniformly sloping bottom. |
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