| 含微扰Sine—Gordon方程的代数解法 |
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| 引用本文： | 梅玉平 颜家壬. 含微扰Sine—Gordon方程的代数解法[J]. 湘潭大学自然科学学报, 1993, 15(4): 63-65 |
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| 作者姓名： | 梅玉平 颜家壬 |
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| 作者单位： | 湘潭大学物理系(梅玉平，颜家壬)，湘潭大学物理系(颜晓红) |
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| 摘 要： | 本文采用一种新的方法研究单原子吸附的非线性动力学方程.将含微扰的Siue-Gordon方程转化为代数方程,进一步求得Sine-Gordon方程的解.该解的特点是当微扰为零时,结果与Sine-Gordon方程的标准解一致;微扰项的影响使解的对称性破缺,且破缺程度的大小随着微扰的增加而增大。
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| 关 键 词： | S－G方程 非线性动力学 代数解法 |
AN ALGEBRIC APPROACH FOR THE PERTURBED SINE-GORDON EQUATION |
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| Mei Yuping Yan jiaren Yan Xiaohong. AN ALGEBRIC APPROACH FOR THE PERTURBED SINE-GORDON EQUATION[J]. Natural Science Journal of Xiangtan University, 1993, 15(4): 63-65 |
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| Authors: | Mei Yuping Yan jiaren Yan Xiaohong |
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| Affiliation: | Department of Physics |
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| Abstract: | A new approach is developed in discussing the nonlineardynamical equation of an absorbed atom. The perturbed Sine-Gordonequaton is transformed to an algebric equation, and we obtain thesoliton solution of it. The characteristic of the solution is the symme-try breaking for a kink and antikink soliton. The influence of the per-turbed term on the solution is more evident as the increase of the per-turbed parameter. |
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| Keywords: | Sine-Gordon equation perturbation an algebric approach soliton |
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