Abstract
In this paper, a technique called Tanh method is applied to obtain some traveling wave solutions for Boussinesq’s equation, and by using new transform iterative method (NTIM) which is a combination of the new iterative method (NIM) and Laplace transform, we obtain an approximate solution to Boussinesq’s equation. A comparison between the traveling wave solution (exact solution) and the approximate one of equation under study, indicate that new transform iterative method (NTIM) is highly accurate and can be considered a very useful and valuable method.
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