Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber

Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber
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DOI:
10.1016/j.aml.2017.06.015
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发表时间:
2018
期刊:
Appl. Math. Lett.
影响因子:
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通讯作者:
Qian-Min Huang;Yi-Tian Gao;Lei Hu
Qian-Min Huang;Yi-Tian Gao;Lei Hu
中科院分区:
其他
文献类型:
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作者:
Qian-Min Huang;Yi-Tian Gao;Lei Hu

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本文研究了光纤中可积六阶非线性薛定谔方程的呼吸子到孤子的跃迁。给出了呼吸子到孤子跃迁的约束条件。呼吸子可以转化为不同类型的孤子,这取决于达布变换中本征值的真实的实部和虚部的大小。用图形表示了呼吸子与呼吸子、呼吸子与孤子、孤子与孤子之间的相互作用。
In this letter, breather-to-soliton transition is studied for an integrable sixth-order nonlinear Schrödinger equation in an optical fiber. Constraint for the breather-to-soliton transition is given. Breathers could be transformed into the different types of solitons, which are determined by the values of the real and imaginary parts of the eigenvalues in the Darboux transformation. Interactions of the breathers and breathers, of the breathers and solitons, as well as of the solitons and solitons, are graphically presented.