|
Z. Naturforsch. 66a, 721 – 727
(2011)
doi:10.5560/ZNA.2011-0041
Bifurcation Behaviour of the Travelling Wave Solutions of the Perturbed Nonlinear Schrödinger Equation with Kerr Law Nonlinearity
College of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, Hunan, P. R. China
Received April 13, 2011 / revised July 9, 2011
Reprint requests to: Z.-Y. Z.; E-mail:
zhangzaiyun1226@126.com
In this paper, we study the bifurcations and dynamic behaviour of the travelling wave solutions of the perturbed nonlinear Schrödinger equation (NLSE) with Kerr law nonlinearity by using the theory of bifurcations of dynamic systems. Under the given parametric conditions, all possible representations of explicit exact solitary wave solutions and periodic wave solutions are obtained.
Key words: NLSE; Kerr Law Nonlinearity; Bifurcation; Travelling Wave Solutions.
PACS numbers: 02.30.Jr; 02.30.Oz; 04.20.Jb