title: Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations.
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.
  02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg.
authors.affiliation: Department of Mathematics, Pabna University of Science & Technology, Pabna, 6600 Bangladesh.
authors.forename: Kamruzzaman
authors.initials: K
authors.lastname: Khan
authors.affiliation: Department of Applied Mathematics, University of Rajshahi, Rajshahi, 6205 Bangladesh.
authors.forename: M Ali
authors.initials: MA
authors.lastname: Akbar
authors.affiliation: Department of Mathematics, Pabna University of Science & Technology, Pabna, 6600 Bangladesh.
authors.forename: S M Rayhanul
authors.initials: SM
authors.lastname: Islam
keywords: DMBBM equation; Exact solutions; MSE method; NLEEs; Solitary wave; cKG equation