Coupled nonlinear Schrödinger equations model several interesting physical phenomena. We used a trigonometric function transform method based on a homogeneous balance to solve the coupled higher-order nonlinear Schrödinger equations. We obtained four pairs of exact solitary-wave solutions including a dark and a bright-soliton pair, a bright- and a dark-soliton pair, a bright- and a bright-soliton pair, and the last pair, a combined bright–dark-soliton pair.
© 2004 Optical Society of America
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.4510) Fiber optics and optical communications : Optical communications
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(320.7140) Ultrafast optics : Ultrafast processes in fibers
Jinping Tian, Huiping Tian, Zhonghao Li, and Guosheng Zhou, "Combined solitary-wave solution for coupled higher-order nonlinear Schrödinger equations," J. Opt. Soc. Am. B 21, 1908-1912 (2004)