Soliton and breather solutions of the Sasa–Satsuma equation via the Darboux transformation
Soliton and breather solutions of the Sasa–Satsuma equation via the Darboux transformation
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DOI：
10.1088/0031-8949/89/7/075207
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发表时间：
2014-05
期刊：
影响因子：
2.9
通讯作者：
Tao Xu;Danhua Wang;Min Li;H. Liang
中科院分区：
文献类型：
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作者：
Tao Xu;Danhua Wang;Min Li;H. Liang
本文构造了Sasa-Satsuma方程的广义达布变换，并将迭代解用三分量的Wronskian表示。从一次迭代解中，我们得到了呼吸子以及单峰和双峰孤子。我们还分析了三种类型的碰撞：孤子-孤子，呼吸者-呼吸者和孤子-呼吸者碰撞。结果表明，孤子-呼吸子碰撞可能会出现形状变化现象，即一个呼吸子（或孤子）与另一个呼吸子相互作用时，可能会变成一个孤立子（或呼吸子）。这种新颖的碰撞现象在全光信息处理、光信号的光交换和光路由等方面有着重要的应用前景。
In this paper, we construct the general Darboux transformation on the Sasa–Satsuma equation and represent the iterated solutions in terms of the three-component Wronskian. From the once-iterated solution, we derive the breather as well as the single- and double-hump solitons. We also analyze three types of collisions: soliton–soliton, breather–breather and soliton–breather collisions. The surprising result is that the soliton–breather collision may exhibit the shape-changing phenomena, that is, one breather (or soliton) may change into a soliton (or breather) when interacting with another breather. Such novel collision phenomena may be applied in all-optical information processing, optical switching and routing of optical signals.