| 含时Peierls方程的呼吸子近似解 |
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| 引用本文： | 王少峰,王东旭. 含时Peierls方程的呼吸子近似解[J]. 四川大学学报(自然科学版), 2021, 58(3): 034003 |
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| 作者姓名： | 王少峰 王东旭 |
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| 作者单位： | 重庆大学物理学院,重庆401331 |
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| 基金项目： | 国家自然科学基金(11874093) |
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| 摘 要： | 呼吸子是一种广泛存在于非线性模型中的重要非线性振动模.本文给出了含时Peierls方程的近似呼吸子解,并且通过数值方法验证了呼吸子解的正确性.结果表明了动力学Peierls方程也存在呼吸子解,呼吸子可以看作是位错和反位错的束缚态.
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| 关 键 词： | 含时Peierls方程 呼吸子 数值计算 |
| 收稿时间： | 2020-08-02 |
| 修稿时间： | 2020-09-10 |
Approximated breather solution of the time-dependent Peierls equation |
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| WANG Shao-Feng and WANG Dong-Xu. Approximated breather solution of the time-dependent Peierls equation[J]. Journal of Sichuan University (Natural Science Edition), 2021, 58(3): 034003 |
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| Authors: | WANG Shao-Feng and WANG Dong-Xu |
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| Affiliation: | Department of Physics, Chongqing University,Department of Physics, Chongqing University |
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| Abstract: | Breather is an important nonlinear vibration mode that widely exists in many nonlinear models. In this paper, the approximate breather solution of the time-dependent Peierls equation is presented, and the correctness of the breather solution is verified by numerical simulation. The results show that the proposed solution is really a breather of the dynamical Peierls equation, and the breather solution can be viewed as a bound state of dislocation and anti-dislocation. |
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| Keywords: | Time-dependent Peierls equation Breather Numerical solution |
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