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广义耦合非线性薛定谔方程中的达布变换和多孤子解 被引量：1

Darboux transformations and Multi-solitons solutions for the general coupled nonlinear Schrodinger equation
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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.
作者 林机 郭帮兴
机构地区 浙江师范大学非线性物理研究所
出处 《浙江师范大学学报（自然科学版）》 CAS 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)
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 general coupled nonlinear Schrtidinger equation Darboux transformations Muhi-solitons solu-tions interaction solitons bright soliton
分类号 O411 [理学—理论物理]
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参考文献19

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浙江师范大学学报（自然科学版）
2015年 第2期

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