Abstract
In this letter, the functional variable method has been discussed for finding the solitary and periodic wave solutions of nonlinear evolution equations (NLEEs). We use this method to construct aforementioned solutions to the coupled nonlinear Klein-Gordon (CNKG) equations and the (1+1)-dimensional nonlinear dispersive modified Benjamin-Bona Mahony (DMBBM) equation. Each of the obtained solutions contain an explicit function of the variables in the considered equations. It has been shown that the method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering fields without the help of computer algebra system.
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