The tanh method for travelling wave solutions to the Zhiber–Shabat equation and other related equations |
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| Institution: | 1. Firat University, Department of Mathematics, Elazig, Turkey;2. Department of Mathematics, Federal University, Dutse, Jigawa, Nigeria;3. Munzur University, Department of Computer Engineering, Tunceli, Turkey;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;2. Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University, Riyadh 13318, Saudi Arabia;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;1. Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey;2. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157 Rudsar-Vajargah, Iran;3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, P.R. China;4. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;5. Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;6. Science Program, Texas A and M University at Qatar, P.O. Box 23874, Doha, Qatar;1. Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul 41002, Iraq;2. Department of Mathematics, Faculty of Science, Damanhour University, Bahira 22514, Egypt;1. Department of Mathematics, Chittagong University of Engineering and Technology, Bangladesh;2. Department of Mathematics, Pabna University of Science and Technology, Bangladesh;3. Department of Applied Mathematics, University of Rajshahi, Bangladesh |
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| Abstract: | The tanh method and the extended tanh method are used for handling the Zhiber–Shabat equation and the related equations: Liouville equation, sinh-Gordon equation, Dodd–Bullough–Mikhailov (DBM) equation, and Tzitzeica–Dodd–Bullough equation. Travelling wave solutions of different physical structures are formally derived for each equation. |
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