Periodic and solitary wave solutions of the attractive and repulsive nonlinear Schrödinger equation

Abstract

By means of symbolic computation, the first integral method is presented to obtain novel exact solutions of the nonlinear evolution equation. The obtained results include periodic and solitary wave solutions. The power of this manageable method is confirmed and the availability of symbolic computation is demonstrated.

Keywords:

• exact solutions
• periodic wave solutions
• solitary wave solutions
• first integral method
• the attractive and repulsive nonlinear Schrödinger equation

2006 PACS Codes::

• 02.30 Jr
• 02.70 Wz
• 05.45 Yv
• 94.05 Fg