广义耦合非线性薛定谔方程中的达布变换和多孤子解  

Darboux transformations and Multi-solitons solutions for the general coupled nonlinear Schrodinger equation

作　　者：林机[1] 郭帮兴 

机构地区：[1]浙江师范大学非线性物理研究所,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2015年第2期121-128,共8页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11175158)

摘　　要：给出了广义耦合非线性薛定谔方程(GCNLS)的2种达布变换和多孤子解.对于自聚焦型GCNLS,给出了N个亮-亮孤子解,对于散焦型的GCNLS,由第2种达布变换给出了N-暗-暗孤子解.作为例子,文中给出了二孤子相互作用.Muhi-solitons solutions of general coupled nonlinear Schrtidinger equation （ GCNLS ） were obtained by two Darboux transformations（DT）. N-bright-bright solitons for the focusing type of GCNLS were derived by the traditional DT method and N-dark-dark solitons for the defocusing type were presented by the simpler-loo- king DT. The interactions of multi-solitons were also discussed.

关 键 词：广义耦合非线性薛定谔方程 达布变换 多孤子解 孤子相互作用 高孤子 

分 类 号：O411[理学—理论物理]