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

作     者：林机 赵丽娜 李画眉 

作者机构：Institute of Nonlinear PhysicsZhejiang Normal University International Centre for Theoretical Physics 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2011年第55卷第4期

页      面：676-680页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

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

主　　题：optical soliton Lie group symmetry competing nonlinearity 

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.