非线性扰动耦合Schrödinger系统激波的近似解法

姚静荪; 欧阳成; 陈丽华; 莫嘉琪

doi:10.3879/j.issn.1000-0887.2012.12.009

非线性扰动耦合Schrödinger系统激波的近似解法

doi: 10.3879/j.issn.1000-0887.2012.12.009

¹安徽师范大学数学系, 安徽芜湖 241003;² 湖州师范学院理学院,浙江湖州 313000;³福建师范大学福清分校数学与计算机科学系, 福建福清 350300

基金项目: 国家自然科学基金资助项目(41175058)；中国科学院战略性先导科技专项应对气候变化的碳收支认证及相关问题基金资助项目(XDA01020304);安徽高校省级自然科学研究基金资助项目(KJ2011A135);浙江省自然科学基金资助项目(Y6110502)；江苏省自然科学基金资助项目(BK2011042)；福建省教育厅基金项目(A类)课题资助项目(JA10288)

详细信息

作者简介:
姚静荪(1956—),女,安徽黟县人,教授(E-mail: jsyao@mail.ahnu.edu.cn);莫嘉琪(1937—),男,浙江德清人,教授(联系人.Tel:+86-553-3869642; E-mail: mojiaqi@mail.ahnu.edu.cn).

中图分类号: O175.29
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出版历程
- 收稿日期: 2011-10-13
- 修回日期: 2012-04-23
- 刊出日期: 2012-12-15

Approximate Solving Method of Shock for Nonlinear Disturbed Coupled Schrödinger System

¹ Department of Mathematics, Anhui Normal University, Wuhu, Anhui 241003, P.R.China;² Faculty of Science, Huzhou Teacher College, Huzhou, Zhejiang 313000, P.R.China;³ Department of Mathematics and Computer Science,Fuqing Branch of Fujian Normal University, Fuqing, Fujian 350300, P.R.China

摘要

摘要: 研究了一类非线性扰动耦合Schrödinger系统．利用精确解与近似解相关联的特殊技巧，首先讨论了对应典型的耦合系统，利用投射法得到了精确的激波行波解．再利用近似方法得到了扰动耦合Schrödinger系统的行波渐近解．
- Schrödinger系统 /
- 激波 /
- 渐近解
Abstract: A class of the nonlinear disturbed coupled Schrödinger system was studied. Using the specific technique to relate the exact and approximate solutions, firstly, the corresponding typical coupled system was considered. The exact shock travelling solution was obtained by using the mapping method. Then the travelling asymptotic solutions of the disturbed coupled Schrdinger system was found by using an approximate method.
- Schrödinger system /
- solitary wave /
- asymptotic solution

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参考文献(20)

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文章访问数: 1907
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非线性扰动耦合Schrödinger系统激波的近似解法

doi: 10.3879/j.issn.1000-0887.2012.12.009

作者简介:
姚静荪(1956—),女,安徽黟县人,教授(E-mail: jsyao@mail.ahnu.edu.cn);莫嘉琪(1937—),男,浙江德清人,教授(联系人.Tel:+86-553-3869642; E-mail: mojiaqi@mail.ahnu.edu.cn).

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Approximate Solving Method of Shock for Nonlinear Disturbed Coupled Schrödinger System

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留言板

非线性扰动耦合Schrödinger系统激波的近似解法

doi: 10.3879/j.issn.1000-0887.2012.12.009

作者简介: 姚静荪(1956—),女,安徽黟县人,教授(E-mail: jsyao@mail.ahnu.edu.cn);莫嘉琪(1937—),男,浙江德清人,教授(联系人.Tel:+86-553-3869642; E-mail: mojiaqi@mail.ahnu.edu.cn).

计量

出版历程

Approximate Solving Method of Shock for Nonlinear Disturbed Coupled Schrödinger System

计量

出版历程

目录

作者简介:
姚静荪(1956—),女,安徽黟县人,教授(E-mail: jsyao@mail.ahnu.edu.cn);莫嘉琪(1937—),男,浙江德清人,教授(联系人.Tel:+86-553-3869642; E-mail: mojiaqi@mail.ahnu.edu.cn).