| 孤子与湍流之间的相变 |
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| 引用本文： | 海文华.孤子与湍流之间的相变[J].湖南城市学院学报,1996(6). |
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| 作者姓名： | 海文华 |
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| 作者单位： | 中国高等科学技术中心!北京，100080，湖南教育学院!长沙，410012 |
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| 基金项目： | 国家自然科学基金，中国科学院波谱与原子分子物理国家重点实验室资助 |
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| 摘 要： | 运用线性稳定性分析法严格证明，某些微扰KdV方程的孤子解具有条件稳定性。稳定条件被得到为系统参数与初始常数间的一个关系。在该条件下，微扰作用下的孤子解处于临界稳定态，湍流产生于临界态附近的混饨区、选择适当的系统参数与初始条件以满足稳定性条件，可以控制孤子与湍流之间的相变。
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| 关 键 词： | 孤子 湍流 条件稳定性 混沌 |
Phase transition between solitons and turbulences |
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| Hai Wenhua.Phase transition between solitons and turbulences[J].Journal of Hunan City Univeristy,1996(6). |
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| Authors: | Hai Wenhua |
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| Abstract: | By using the linear stability analysis, it is strictly proved that the soliton solutions of some perturbed KdV equations possess conditional stability. A stability condition isobtained as a relation among the initial constants and the system parameters, Under the condition, the perturbed solitons are in critical stable state and the turbulences appear in chaoticregion next to the critical state. Fitting the initial constants and system parameters into theconditions, the soliton-turbulence transition can be controlled. |
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| Keywords: | soliton turbulence conditional stability chaos |
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