| 非线性Schroedinger方程组的精确解组 |
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| 引用本文： | 蒲利春,林宗兵,张雪峰,王本菊,姜毅,严天艳.非线性Schroedinger方程组的精确解组[J].物理学报,2005,54(10):4472-4477. |
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| 作者姓名： | 蒲利春 林宗兵 张雪峰 王本菊 姜毅 严天艳 |
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| 作者单位： | 攀枝花学院数理教学部,攀枝花617000 |
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| 摘 要： | 运用Maple语言程序，在没有假设的条件下，得到了具有耦合特性的非线性Schrfidinger方程组的行波精确解组及其约束条件方程，它们的表达式涵盖了所有的耦合解组与非耦合解组，具有任意性。耦合解组的算例函数及其特性分析，解释了α螺旋蛋白质螺旋链运动模型的行波孤立子解的耦合效应，揭示了增加、稳定和控制蛋白质活性和功能的方向。文章的研究方法，为求解耦合的非线性微分方程组的行波精确解组探索了蹊径。
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| 关 键 词： | 非线性Schrtidinger方程组 Maple语言 行波精确解组 算例函数及其特性 非线性Schroedinger方程组 解组 非线性微分方程组 耦合特性 Maple 语言程序 |
| 文章编号： | 1000-3290/2005/54（10）/4472-06 |
| 收稿时间： | 06 9 2005 12:00AM |
| 修稿时间： | 2005-06-092005-06-19 |
Exact solutions of nonlinear ShrSdinger equations |
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| Pu Li-Chun, Lin Zong-Bing ,Zhang Xue-Feng ,Wang Ben-Ju ,Jiang Yi, Yan Tian-Yan.Exact solutions of nonlinear ShrSdinger equations[J].Acta Physica Sinica,2005,54(10):4472-4477. |
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| Authors: | Pu Li-Chun Lin Zong-Bing Zhang Xue-Feng Wang Ben-Ju Jiang Yi Yan Tian-Yan |
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| Affiliation: | Maths and Physics Department, Panzhihua University, Panzhihua 617000, China |
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| Abstract: | A Maple language process is utilized to find the traveling wave accurate solutions and their restricting condition equation for nonlinear Schroedinger equations with coupling characteristic without any assumptions. The expressions are arbitrary and cover all coupling solutions and non - coupling solutions. The calculation and characteristic analysis for the coupling solutions can explain the coupling effect of traveling wave solition solutions of the helix chain movement model for the alpha-helix protein and reveal the direction in which the protein activation and function are increased and fixed. The research methods in this paper provide certain ways for obtaining the traveling wave accurate solutions of the coupling nonlinear differential equations. |
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| Keywords: | nonlinear Schroedinger equations Maple language coupling traveling wave accurate solutions calculation and characteristic analysis |
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