Article ID Journal Published Year Pages File Type
1893341 Chaos, Solitons & Fractals 2009 12 Pages PDF
Abstract

The generalized nonlinear Schrödinger equation (GNLS) iut + uxx + β∣u∣2u + γ∣u∣4u + iα (∣u∣2u)x + iτ(∣u∣2)xu = 0 is studied. Using the bifurcation of travelling waves of this equation, some exact solitary wave solutions were obtained in [Wang W, Sun J,Chen G, Bifurcation, Exact solutions and nonsmooth behavior of solitary waves in the generalized nonlinear Schrödinger equation. Int J Bifucat Chaos 2005:3295–305.]. In this paper, more explicit exact solitary wave solutions and some new smooth periodic wave solutions are obtained.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
Authors
, ,