The classification of the single traveling wave solutions to the time-fraction Gardner equation |
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| Institution: | 1. Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Deanship of Research and Graduate Studies, Applied Science University, PO Box 5055, Bahrain;5. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People’s Republic of China;6. Science Program, Texas A&M University at Qatar, Doha PO Box 23874, Qatar |
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| Abstract: | The time-fraction Gardner equation is considered and the classification of single traveling wave solutions is presented. In particular, the corresponding solutions for the concrete parameters are constructed to show that each solution in the classification can be realized. What’s more, the numerical simulations are also shown in the paper. |
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