Bifurcation Behaviour of the Travelling Wave Solutions of the Perturbed Nonlinear Schrödinger Equation with Kerr Law Nonlinearity

Zai-Yun Zhang, Xiang-Yang Gan, De-Ming Yu
2011 Zeitschrift fur Naturforschung A-A Journal of Physical Sciences  
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
doi:10.5560/zna.2011-0041 fatcat:zf44jptz2vaydon4nw63wfeeb4