Soliton-like and periodic form solutions to (2 + 1)-dimensional Toda 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: | In this paper, we present a further extended tanh method for constructing exact solutions to nonlinear difference-differential equation(s) (NDDEs) and Lattice equations. By using this method via symbolic computation system MAPLE, we obtain abundant soliton-like and period-form solutions to the (2 + 1)-dimensional Toda equation. Solitary wave solutions are merely a special case in one family. This method can also be used to other nonlinear difference differential equations. |
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