Phase controlling of collisions between solitons in the two-dimensional complex Ginzburg-Landau equation without viscosity.

Phase controlling of collisions between solitons in the two-dimensional complex Ginzburg-Landau equation without viscosity.
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DOI:
10.1103/physreve.84.056607
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发表时间:
2011-11
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
B. Liu;Xingdao He;Shujing Li
B. Liu;Xingdao He;Shujing Li
中科院分区:
其他
文献类型:
--
作者:
B. Liu;Xingdao He;Shujing Li

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本文系统地分析了无粘性时二维五次复Ginzburg-Landau方程中孤子碰撞的结果随孤子相对相位φ的变化。三个通用的结果被确定为:合并成一个单一的孤子,创建一个额外的孤子,和准弹性相互作用。φ可以有效地控制合并孤子和额外孤子的速度。另外,随着增益的减小或损耗的增大,产生额外孤子的结果范围减小到零。这些特性在基于光孤子相互作用的光开关和逻辑门中具有潜在的应用价值。
We present a systematic analysis of the outcome of soliton collisions upon variation of the relative phase φ of the solitons, in the two-dimensional cubic-quintic complex Ginzburg-Landau equation in the absence of viscosity. Three generic outcomes are identified: merger of the solitons into a single one, creation of an extra soliton, and quasielastic interaction. The velocities of the merger soliton and the extra soliton can be effectively controlled by φ. In addition, the range of the outcome of creating an extra soliton decreases to zero with the reduction of gain or the increasing of loss. The above features have potential applications in optical switching and logic gates based on interaction of optical solitons.