Multiple exp-function method for soliton solutions of nonlinear evolution equations
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Date
2017-06
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IOP Publishing
Abstract
We applied the multiple exp-function scheme to the (2+1)-dimensional Sawada-Kotera (SK) equation and (3+1)-dimensional nonlinear evolution equation and analytic particular solutions have been deduced. The analytic particular solutions contain one-soliton, two-soliton, and three-soliton type solutions. With the assistance of Maple, we demonstrated the efficiency and advantages of the procedure that generalizes Hirota's perturbation scheme. The obtained solutions can be used as a benchmark for numerical solutions and describe the physical phenomena behind the model.
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Keywords
Physics, (2+1)-dimensional Sawada-Kotera (SK) equation, (3+1)-dimensional nonlinear evolution equation (NLEE), Multiple exp-function method, multiple wave solutions, (2+1)-dimensional sawada-kotera, Backlund transformation, Function algorithm, Wave-equations, Tanh method, Form, Differential equations, Solitons, (2+1)-dimensional Sawada-Kotera (SK) equation, Exp-function method, Multiple wave solutions, Nonlinear evolution equation, Numerical solution, Particular solution, Physical phenomena, Soliton solutions, Nonlinear equations
Citation
Yıldırım, Y. ve Yaşar, E. (2017). ''Multiple exp-function method for soliton solutions of nonlinear evolution equations''. Chinese Physics B, 26(7).