title: Exact solutions of unsteady Korteweg-de Vries and time regularized long wave equations.
abstract: In this paper, we implement the exp(-Φ(ξ))-expansion method to construct the exact traveling wave solutions for nonlinear evolution equations (NLEEs). Here we consider two model equations, namely the Korteweg-de Vries (KdV) equation and the time regularized long wave (TRLW) equation. These equations play significant role in nonlinear sciences. We obtained four types of explicit function solutions, namely hyperbolic, trigonometric, exponential and rational function solutions of the variables in the considered equations. It has shown that the applied method is quite efficient and is practically well suited for the aforementioned problems and so for the other NLEEs those arise in mathematical physics and engineering fields. PACS numbers: 02.30.Jr, 02.70.Wz, 05.45.Yv, 94.05.Fq.
authors: Department of Mathematics, Pabna University of Science & Technology, Pabna, 6600 Bangladesh.
authors: S M Rayhanul
authors: SM
authors: Islam
authors: Department of Mathematics, Pabna University of Science & Technology, Pabna, 6600 Bangladesh.
authors: Kamruzzaman
authors: K
authors: Khan
authors: Department of Applied Mathematics, University of Rajshahi, Rajshahi, 6205 Bangladesh.
authors: M Ali
authors: MA
authors: Akbar
keywords: Exact solutions; NLEEs; The KdV equation; The TRLW equation; The exp(−Φ(ξ))-expansion method