Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds
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DOI：
10.1002/mma.9502
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发表时间：
2023-07
影响因子：
2.9
通讯作者：
Yunyun Zhai;Xing-xing Hu;Ting Ji;Jiao Wei;Yihao Li
中科院分区：
文献类型：
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作者：
Yunyun Zhai;Xing-xing Hu;Ting Ji;Jiao Wei;Yihao Li
利用广义达布变换研究了矢量非线性薛定谔系统。我们开始与非零种子解的指数形式的发展变量t$$ t $$和探索的特征函数的n$$ n $-分量NLS方程。利用本征函数的计算公式，研究了二分量和三分量NLS方程的局域波解。通过选取不同的自由参数，得到了一些特殊的解和动力学演化，包括呼吸子-流氓波、呼吸子分裂、呼吸子融合和呼吸子-孤子。
The vector nonlinear Schrödinger (NLS) system is studied through the generalized Darboux transformation (DT). We begin with the nonzero seed solution in the exponential form of evolution variable t$$ t $$ and explore the eigenfunction of the n$$ n $$ ‐component NLS equation. With the formulae of the eigenfunction, localized wave solutions of the two‐component and three‐component NLS equations are studied. By choosing different free parameters, some special solutions and the dynamic evolutions are presented, including breather–rogue wave, breather fission, breather fusion, and breather–soliton.