Abstract
An analytical study on a nonlinear elastic rod equation is conducted in this paper. The modified Kudryashov method, the (G′/G)-expansion method, and the Exp-function method are employed to extract exact solutions for the equation. As a result, a range of exact traveling wave solutions is obtained, including: solitary wave solutions, trigonometric and hyperbolic function solutions. Some particular cases of the general solutions derived from each of the proposed techniques are compared and verified together. Finally, merits and drawbacks of these methods are comprehensively discussed.
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