title: Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G'/G)-expansion method.
abstract: Exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the internal mechanism of complex physical phenomena. In this work, the exact traveling wave solutions of the Boussinesq equation is studied by using the new generalized (G'/G)-expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, trigonometric, and rational functions. It is shown that the new approach of generalized (G'/G)-expansion method is a powerful and concise mathematical tool for solving nonlinear partial differential equations in mathematical physics and engineering.
  05.45.Yv, 02.30.Jr, 02.30.Ik.
authors.affiliation: Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh.
authors.forename: Md Nur
authors.initials: MN
authors.lastname: Alam
authors.affiliation: Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh.
authors.forename: M Ali
authors.initials: MA
authors.lastname: Akbar
authors.affiliation: Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh.
authors.forename: Harun-Or-
authors.initials: HO
authors.lastname: Roshid
keywords: Homogeneous balance; New approach of generalized (G′/G)-expansion method; Nonlinear evolution equation; The Boussinesq equation; Traveling wave solutions