A note on the interactions of nonlinear waves governed by the generalized boussinesq equation
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CitationDemiray, H. (2014). A note on the interactions of nonlinear waves governed by the generalized boussinesq equation. Applied and Computational Mathematics, 13(3), 376-380.
In this work, based on a one dimensional model, the interaction of two solitary waves propagating in opposite directions in a fluid whose equations are governed by the generalized Boussinesq equation, by use of the Poincare-Lighthill-Kuo (PLK) method. It is shown that bidirectional solitary waves are propagated, and the head-on collision of these two solitons occur. The phase shifts and the trajectories of these two solitons after the collisions are obtained.