Solitons and dynamic properties of the coupled semidiscrete Hirota equation

Solitons and dynamic properties of the coupled semidiscrete Hirota equation
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耦合半离散 Hirota 方程的孤子和动态特性

DOI:
10.1063/1.4791765
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发表时间:
2013-02
期刊:
影响因子:
1.6
通讯作者:
Zhu, Zuo-Nong
Zhu, Zuo-Nong
中科院分区:
材料科学4区
文献类型:
--
作者:
Zhao, Hai-Qiong;Zhu, Zuo-Nong

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本文用双线性方法得到了可积耦合半离散Hirota方程(ICDHE)的亮-亮耦合和暗-暗耦合孤子解。根据参数的选择,这些解既有奇异行为,也有非奇异行为。ICDHE的显著特点是其奇异解在离散空间中可以在某一时刻具有一些非奇异特征。研究了这些耦合亮-亮孤子和耦合暗-暗孤子的渐近行为,以解释它们的碰撞性质。
In this paper, we obtain the coupled bright-bright and the coupled dark-dark soliton solutions for an integrable coupled semidiscrete Hirota equation (ICDHE) using the bilinear method. These solutions have both singular and nonsingular behaviors depending upon the choice of the parameters. The distinguishing feature of the ICDHE is that the singular solution can possess some nonsingular characteristics in the discrete space at some time. The asymptotic behavior of these coupled bright-bright and the coupled dark-dark solitons is studied in order to explain their collision properties.
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