Soliton solutions for the Boussinesq equations

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Based on three methods, exact solutions are obtained for cubic Boussinesq and modified Boussinesq equations. These are tanh method, sech method, and sine-cosine method. The obtained solutions contain solitary waves. The results reveal are very effective, convenient and quite accurate to such types of partial differential equations comparing with other methods.

DOI : https://scik.org/index.php/jmcs/article/view/766