Explicit Soliton and Periodic Solutions to Three-Wave System with Quadratic and Cubic Nonlinearities  

作　　者：林机 赵丽娜 李画眉 

机构地区：[1]Institute of Nonlinear Physics,Zhejiang Normal University [2]International Centre for Theoretical Physics

出　　处：《Communications in Theoretical Physics》2011年第4期676-680,共5页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.10875106

摘　　要：Lie group theoretical method and the equation of the Jacobi elliptic function are used to study the three wave system that couples two fundamental frequency （FF） and a single second harmonic （SH） one by competing X^（2） （quadratic） and X^（3） （cubic） nonlinearities and birefringence. This system shares some of the nice properties of soliton system. On the phase-locked condition; we obtain large families of analytical solutions as the soliton, kink and periodic solutions of this system.

关 键 词：optical soliton Lie group symmetry competing nonlinearity 

分 类 号：O415[理学—理论物理]