| 非线性Schrodinger方程的行波解分支 |
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| 引用本文： | 黎明. 非线性Schrodinger方程的行波解分支[J]. 昆明理工大学学报(自然科学版), 2009, 34(2): 89-94. DOI: 10.3969/j.issn.1007-855x.2009.02.020 |
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| 作者姓名： | 黎明 |
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| 作者单位： | 曲靖师范学院,数学与信息科学学院,云南,曲靖,650011 |
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| 基金项目： | 云南省自然科学基金，云南省教育厅科研立项基金 |
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| 摘 要： | 利用平面动力系统分支理论，证明了非线性Schrodinger方程孤立行波、周期波、扭子与反扭子波解的存在性．得到了在不同参数条件下，方程的所有孤立行波解、扭波解和反扭波解、周期波解的显示精确表示．
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| 关 键 词： | 非线性方程 周期波解 非线性光纤 短脉冲 |
Bifurcations of Traveling Wave Solution for Nonlinear Schrodinger Equations |
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| LI Ming. Bifurcations of Traveling Wave Solution for Nonlinear Schrodinger Equations[J]. Journal of Kunming University of Science and Technology(Natural Science Edition), 2009, 34(2): 89-94. DOI: 10.3969/j.issn.1007-855x.2009.02.020 |
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| Authors: | LI Ming |
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| Affiliation: | College of Mathematics and Information Science;Qujing Normal University;Qujing;Yunnan 650011;China |
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| Abstract: | The nonlinear Schrodinger equations are studied in this paper.Based on the bifurcation theory of dynamical systems,the existence of their solitary wave,kink and anti-kink wave,and periodic wave solution is proved.Under different parametric conditions,all possible exact parametric representations of solitary wave,kink and anti-kink wave,and periodic wave solutions are obtained and classified. |
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| Keywords: | nonlinear equations periodic wave solution nonliner optical short pulse |
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