Bilinear Forms and Soliton Solutions for the Reduced Maxwell-Bloch Equations with Variable Coefficients in Nonlinear Optics

作     者：Jun Chai Bo Tian Han-Peng Chai 柴俊;田播;柴汉鹏

作者机构：state key laboratory of information photonics and optical communicationsand school of sciencebeijing university of posts and telecommunicationsBeijing 100876China 

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

年 卷 期：2018年第69卷第2期

页      面：188-190页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0704[理学-天文学] 0803[工学-光学工程] 0702[理学-物理学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos.11772017,11272023,11471050 the Fund of State Key Laboratory of Information Photonics and Optical Communications(Beijing University of Posts and Telecommunications),China(IPOC:2017ZZ05) the Fundamental Research Funds for the Central Universities of China under Grant No.2011BUPTYB02 

主　　题：reduced Maxwell-Bloch equations with variable coefficients inhomogeneous two-level dielectricmedium bilinear forms soliton solutions 

摘      要：Investigation in this paper is given to the reduced Maxwell-Bloeh equations with variable coetcients, describing the propagation of the intense ultra-short optical pulses through an inhomogeneous two-level dielectric medium. We apply the Hirota method and symbolic computation to study such equations. With the help of the dependent variable transformations, we present the variable-coetteient-dependent bilinear forms. Then, we construct the one-, two- and N- soliton solutions in analytic forms for them.