In this work, we present traveling wave solutions for the Shorma-Tasso-Olver equation. The idea of exp (-f(x))- expansion method is used to obtain exact solutions of that equation. The traveling wave solutions are expressed by the exponential functions, the hyperbolic functions, the trigonometric functions solutions and the rational functions. It is shown that the method is awfully effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical science and engineering.
Key words: The exp (-f(x))- expansion method, the Shorma-Tasso-Olver equation, nonlinear partial differential equation, homogeneous balance, traveling wave solutions, solitary wave solutions.
Mathematics Subject Classification: 35C07, 35C08, 35P99.
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