| mKdV方程的双扭结单孤子及其稳定性研究 |
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| 引用本文： | 石玉仁,张娟,杨红娟,段文山.mKdV方程的双扭结单孤子及其稳定性研究[J].物理学报,2010,59(11):7564-7569. |
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| 作者姓名： | 石玉仁 张娟 杨红娟 段文山 |
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| 作者单位： | 西北师范大学物理与电子工程学院,兰州 730070 |
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| 基金项目： | 国家自然科学基金(批准号:10575082),教育部科学技术研究重点项目(批准号:209128),西北师范大学科技创新工程(批准号:NWNU- KJCXGC-03-53)资助的课题. |
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| 摘 要： | 基于双曲函数法的思想,通过选择新的展开函数,得到了modified Korteweg-de Vries(mKdV)方程的几类精确解,其中一类为具有扭结—反扭结状结构的双扭结单孤子解.在不同的极限情况下,该解分别退化为mKdV方程的扭结状或钟状孤波解.文中对双扭结型孤子解的稳定性进行了数值研究,结果表明:在长波和短波简谐波扰动、钟型孤立波扰动与随机扰动下,该孤子均稳定.
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| 关 键 词： | mKdV方程 双扭结单孤子 稳定性 |
| 收稿时间： | 2/8/2010 12:00:00 AM |
Single soliton of double kinks of the mKdV equation and its stability |
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| Shi Yu-Ren,Zhang Juan,Yang Hong-Juan,Duan Wen-Shan.Single soliton of double kinks of the mKdV equation and its stability[J].Acta Physica Sinica,2010,59(11):7564-7569. |
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| Authors: | Shi Yu-Ren Zhang Juan Yang Hong-Juan Duan Wen-Shan |
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| Institution: | College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China;College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China;College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China;College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China |
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| Abstract: | Based on the idea of the hyperbola function expansion method, some analytical solutions of the modified Korteweg-de Vries (mKdV) equation are obtained by introducing new expansion functions. One of the single soliton solutions has a kink-antikink structure and it reduces to a kink-like solution and bell-like solution under different limitations. The stability of the single soliton solution with double kinks is investigated numerically. The results indicate that the soliton is stable under different disturbances. |
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| Keywords: | mKdV equation single soliton solution with double kinks stability |
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