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Exact Traveling Wave Solutions for Some Nonlinear Evolution Equations with Nonlinear Terms of any Order
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| Organization: | Dalian University of Technology |
| Department: | Department of Applied Mathematics |
| Organization: | Dalian University of Technology |
| Department: | Department of Applied Mathematics |
| Organization: | Dalian University of Technology, Dalian, Liaoning, China |
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| International Journal of Modern Physics C |
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In this paper, we improved the tanh method by means of a proper transformation and general ansatz. Using the improved method, with the aid of Mathematica, we consider some nonlinear evolution equations with nonlinear terms of any order. As a result, rich explicit exact traveling wave solutions for these equations, which contain kink profile solitary wave solutions, bell profile solitary wave solutions, rational solutions, periodic solutions, and combined formal solutions, are obtained.
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Nonlinear evolution equations, exact traveling wave solutions, symbolic computation
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