| 一类微分-差分方程的孤子解 |
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| 引用本文： | 樊方成,周冉. 一类微分-差分方程的孤子解[J]. 吉林大学学报(理学版), 2019, 57(4): 762-765 |
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| 作者姓名： | 樊方成 周冉 |
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| 作者单位： | 吉林大学数学学院,长春,130012;吉林大学数学学院,长春,130012 |
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| 基金项目： | 吉林省科技发展计划项目 |
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| 摘 要： | 先根据一类微分 差分方程的Lax对, 构建该方程的N-fold Darboux变换, 然后应用Darboux变换, 得到该方程的精确解, 通过软件画图给出该方程的1-孤子解、 2-孤子解、 3-孤子解和4-孤子解, 并讨论3-孤子解和4-孤子解的弹性作用: 相互作用后, 孤子形状和振幅不发生变化.
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| 关 键 词： | 微分-差分方程 N-fold Darboux变换 孤子解 |
| 收稿时间： | 2019-01-15 |
Soliton Solutions of a Class of Differential Difference Equations |
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| FAN Fangcheng,ZHOU Ran. Soliton Solutions of a Class of Differential Difference Equations[J]. Journal of Jilin University: Sci Ed, 2019, 57(4): 762-765 |
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| Authors: | FAN Fangcheng ZHOU Ran |
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| Affiliation: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | Firstly, based on Lax pairs of a class of differential difference equations, the N-fold Darboux transformation was constructed, and then we obtained the exact solutions of the equation by using the Darboux transformation. Through software drawing, we gave the one , two , three and four soliton solutions of the equation, and dicussed the elastic effect among the three solitons and four solitons： solitonic shapes and amplitudes do not change after interaction. |
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| Keywords: | differential difference equation N-fold Darboux transformation soliton solution |
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