Darboux transformation and classification of solution for mixed coupled nonlinear Schrodinger equations
Darboux transformation and classification of solution for mixed coupled nonlinear Schrodinger equations
复制标题
混合耦合非线性薛定谔方程解的达布变换和分类
DOI：
10.1016/j.cnsns.2015.08.023
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发表时间：
2016
影响因子：
3.9
通讯作者：
Guo Boling
中科院分区：
文献类型：
--
作者：
Ling Liming;Zhao Li-Chen;Guo Boling
我们通过执行统一达布变换推导出混合耦合非线性薛定谔方程（mCNLSE）的广义局域波解公式。基于解的动力学行为，明确给出了非零背景下局域波解的分类。特别详细给出了mCNLSE的呼吸器、暗孤子和流氓波解的参数条件。此外，我们还分析了暗孤子解和呼吸解之间的相互作用。这些结果将有助于非线性局域波激励及其在矢量非线性系统中的应用。
We derive generalized localized wave solution formula for mixed coupled nonlinear Schödinger equations (mCNLSE) by performing the unified Darboux transformation. Based on the dynamical behavior of solution, the classification of the localized wave solutions on the nonzero background is given explicitly. Especially, the parameter conditions for breather, dark soliton and rogue wave solution of mCNLSE are given in detail. Moreover, we analyze the interaction between dark soliton solution and breather solution. These results would be helpful for nonlinear localized wave excitations and applications in vector nonlinear systems.