Exact solitary and periodic wave solutions for a generalized nonlinear Schrodinger equation

The generalized nonlinear Schrodinger equation (GNLS) iu(t) + u(xx) + beta vertical bar u vertical bar(2)u + gamma vertical bar u vertical bar(4)u + i alpha (vertical bar u vertical bar(2)u)(x) + i tau(vertical bar u vertical bar(2))(x)u = 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 Schrodinger equation. Int J Bifucat Chaos 2005:3295-305.]. In this paper, more explicit exact solitary wave solutions and some new, smooth periodic wave solutions arc obtained. (c) 2007 Elsevier Ltd. All rights reserved.