| 一个Burgers型孤子方程的拟周期解 |
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| 引用本文： | 单凤娟,李雪梅.一个Burgers型孤子方程的拟周期解[J].河南师范大学学报(自然科学版),2011,39(1):10-14. |
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| 作者姓名： | 单凤娟 李雪梅 |
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| 作者单位： | 1. 郑州大学,数学系,郑州,450001;濮阳职业技术学院,数信系,河南,濮阳,457000
2. 郑州大学,数学系,郑州,450001 |
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| 摘 要： | 利用非线性化方法求得新的有限维Hamilton系统,引入适当的Abel-Jacobi坐标,对Hamilton流进行直化,最终构造出了孤子方程的用Riemann theta 函数表示的拟周期解.
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| 关 键 词： | 非线性化 Abel-Jacobi 坐标 Riemann-theta 函数 拟周期解 |
Quasi-Periodic Solution of a Burgers-like Soliton Equation |
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| SHAN Feng-juan,LI Xue-mei.Quasi-Periodic Solution of a Burgers-like Soliton Equation[J].Journal of Henan Normal University(Natural Science),2011,39(1):10-14. |
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| Authors: | SHAN Feng-juan LI Xue-mei |
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| Institution: | 1(1.Departement of Mathematics,Zhengzhou University,Zhengzhou 450001,China;2.Mathmatics and Information Engineering,Puyang Vocational and Technical College,Puyang 457000,China) |
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| Abstract: | By means of nonlinearization of a spectral problem,a finite-dimensional Hamiltonian system is obtained.The Abel-Jacobi coordiates are introduced suitablly to straighten out the Hamiltonian flow,from which the quasi-periodic solution of the equation is constructed in terms of the Riemann-theta functions. |
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| Keywords: | nonlinearization Abel-Jacobi coordiates Riemann theta functions quasi-periodic solution |
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