Periodic solutions for systems of coupled nonlinear Schrödinger equations with three and four components

作     者：K. W. Chow D. W. C. Lai 

作者机构：Department of Mechanical Engineering University of Hong Kong Pokfulam Road Hong Kong 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2003年第68卷第1期

页      面：017601-017601页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

主　　题：Nonlinear programming 

摘      要：Periodic solutions for systems of coupled nonlinear Schrödinger equations (CNLS) are established by the Hirota bilinear method and elliptic functions. The interesting feature is the choice of theta functions in the formulation. The sum of moduli of the components or the total intensity of the beam in physical terms, will now be a rational function, instead of a polynomial, of elliptic functions. Each component of the CNLS may have multiple peaks within one period.