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Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled
Kamruzzaman Khan1, M Ali Akbar2, S M Rayhanul Islam1
1Department of Mathematics, Pabna University of Science & Technology, Pabna, 6600 Bangladesh.
Abstract:
In this work, recently developed modified simple equation (MSE) method is applied to find exact traveling wave solutions of nonlinear evolution equations (NLEEs). To do so, we consider the (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and coupled Klein-Gordon (cKG) equations. Two classes of explicit exact solutions-hyperbolic and trigonometric solutions of the associated equations are characterized with some free parameters. Then these exact solutions correspond to solitary waves for particular values of the parameters.
Pacs Numbers:
02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg.
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