| 用广义映射法研究非线性薛定谔系统 |
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| 引用本文： | 方建平. 用广义映射法研究非线性薛定谔系统[J]. 丽水学院学报, 2005, 27(5): 26-32 |
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| 作者姓名： | 方建平 |
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| 作者单位： | 丽水学院,数理学院,浙江,丽水,323000 |
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| 基金项目： | 丽水学院重点课题资助项目(KZ05010) |
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| 摘 要： | 利用广义映射法,研究非线性薛定谔系统,得到了它的周期波解、具有周期性行为的孤波解和雅科比椭圆函数解,并解释了两列互相垂直的具有周期性行为的孤波相互作用后产生新的孤波结构的现象。
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| 关 键 词： | 广义映射 椭圆函数 周期解 周期性孤子 |
| 文章编号： | 1008-6749(2005)05-0026-07 |
| 收稿时间： | 2005-06-03 |
| 修稿时间： | 2005-06-03 |
Study On the Nonlinear Schroding System by a General Mapping Approach |
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| Fang Jianping. Study On the Nonlinear Schroding System by a General Mapping Approach[J]. Journal of Lishui University, 2005, 27(5): 26-32 |
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| Authors: | Fang Jianping |
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| Affiliation: | College of Mathematics and Physics, Lishui University, Lishui Zhejiang 323000, China |
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| Abstract: | With the help of a general mapping approach, abundant exact exctiations of a nonlinear Schroedinger system are obtained, which include preodic wave solutions, Jacobian double preodic wave solutions and some new solitary excitations with preodic behaviors. Meanwhile we discuss a new solitary structure derived from two solitary waves with periodic behaviors travelling in two perpendicular directions. |
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| Keywords: | general mapping approach nonlinear schroding system Jacobi double preodic wave solitary excitation |
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