| 修正cKdV方程组的孤立波结构及其稳定性 |
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| 引用本文： | 石玉仁,周志刚,张娟,杨红娟,段文山.修正cKdV方程组的孤立波结构及其稳定性[J].计算物理,2012,29(2):250-256. |
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| 作者姓名： | 石玉仁 周志刚 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(11047010);教育部科学技术研究重点项目(209128);西北师范大学科技创新工程(NWNU-KJCXGC-03-53)资助项目 |
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| 摘 要： | 利用函数展开法求解修正耦合KdV(Coupled KdV,cKdV)方程组,得到几类孤立波解,包括扭结型—钟型、双扭结型、双钟型以及双扭结—双钟型结构的单孤子解.在不同的极限情况下,这些解分别退化为修正cKdV方程的扭结状或钟状孤波解.对孤立波的稳定性进行了数值研究,结果表明:修正cKdV方程既存在稳定的孤立波解,也存在不稳定的孤立波解.
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| 关 键 词： | 修正cKdV方程组 孤立波解 稳定性 |
Solitary Wave Solutions of Modified Coupled KdV Equation and Their Stability |
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| SHI Yuren
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ZHOU Zhigang
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ZHANG Juan
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YANG Hongjuan
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DUAN Wenshan.Solitary Wave Solutions of Modified Coupled KdV Equation and Their Stability[J].Chinese Journal of Computational Physics,2012,29(2):250-256. |
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| Authors: | SHI Yuren ZHOU Zhigang ZHANG Juan YANG Hongjuan DUAN Wenshan |
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| Institution: | (College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | With function expansion method,we obtain several types of solitary wave solutions of modified coupled KdV(cKdV) equations,including kink-bell-like soliton,double kinks soliton,double bells soliton and double kinks-double bells soliton.These solitary wave solutions are reduced to kink or bell-like solitons solution under different limitations.We also investigate numerically stability of solitary wave solutions.It indicates that the system of modified cKdV equations has both stable solitary wave solutions and unstable solitary wave solutions. |
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| Keywords: | modified coupled KdV equation solitary wave stability |
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