摘要
We exhibit some new dark soliton phenomena on the general nonzero background for a defocusing three-component nonlinear Schrodinger equation. As the plane wave background undergoes unitary transformation SU(3), we obtain the general nonzero background and study its modulational instability by the linear stability analysis. On the basis of this background, we study the dynamics of one-dark soliton and two-dark-soliton phenomena, which are different from the dark solitons studied before. Furthermore, we use the numerical method for checking the stability of the one-dark-soliton solution. These results further enrich the content in nonlinear Schrodinger systems, and require more in-depth studies in the future.
We exhibit some new dark soliton phenomena on the general nonzero background for a defocusing three-component nonlinear Schr ¨odinger equation. As the plane wave background undergoes unitary transformation SU(3), we obtain the general nonzero background and study its modulational instability by the linear stability analysis. On the basis of this background, we study the dynamics of one-dark soliton and two-dark-soliton phenomena, which are different from the dark solitons studied before. Furthermore, we use the numerical method for checking the stability of the one-dark-soliton solution. These results further enrich the content in nonlinear Schr ¨odinger systems, and require more in-depth studies in the future.
作者
熊志进
许庆
凌黎明
Zhi-Jin Xiong;Qing Xu;Liming Ling(School of Electric Power Engineering,South China University of Technology,Guangzhou 510640,China;School of Mathematics,South China University of Technology,Guangzhou 510640,China)
基金
Project supported by the National Natural Science Foundation of China(Grant No.11771151)
the Guangdong Natural Science Foundation of China(Grant No.2017A030313008)
the Guangzhou Science and Technology Program of China(Grant No.201904010362)
the Fundamental Research Funds for the Central Universities of China(Grant No.2019MS110)
