| 一类一维阵列的孤波特征 |
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| 引用本文： | 陈利平.一类一维阵列的孤波特征[J].数学物理学报(A辑),1999,19(4):361-367. |
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| 作者姓名： | 陈利平 |
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| 作者单位： | 中国科学院武汉物理与数学研究所数学物理青年实验室!武汉４３００７１ |
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| 摘 要： | 该文研究了一类由二自由度可积哈密顿系统构成的一维阵列的行波解，发现在长波极限下，问题可约化为分析哈密顿系统在扰动下的同异宿轨道的情形．当无扰系统具有共振时，利用能量──相方法，得到该系统存在同、异宿到不动点和周期轨的充分条件，在该条件下相应地一维阵列存在一组具有孤波特征的行波，同时给出了一个Ｎ脉冲孤立子波的例子．
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| 关 键 词： | 阵列 能量──相方法 多脉冲同（异）宿 孤波 |
Character as Solitary Wave in a Certain One-dimensional array |
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| Liping Chen.Character as Solitary Wave in a Certain One-dimensional array[J].Acta Mathematica Scientia,1999,19(4):361-367. |
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| Authors: | Liping Chen |
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| Institution: | Liping Chen
(Joung Scientist laboratory of Mathematical Physics,
Wuhan Institute of physics and Mathematics,
The Chinese Academy of Sciences,P.O.Box 71010,Wuhan 430071) |
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| Abstract: | Travelling wave solution in a one-dimensional array of two degree-of-freedomHamiltonian system is considered. We show that in the long-wave limit,the problem can bereduced to the analysis of the honoclinic orbits of perturbed system. with a resonance in theunperturbed system,we show that the perturbed system have multi-pulse honoclinic orbitsasgmptotic to a periodic orbit,or fixed points using energy-phase method. Therefore, thearray have travelling wave solutions analogous to multi-pulse solitons. |
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| Keywords: | array energy-phase method multipulse homoclinic soliton |
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