论文标题
流氓波的形成和散落的非线性schrödinger方程与外部电势的相互作用
Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials
论文作者
论文摘要
散落的非线性Schrödinger（NLS）方程没有模量不稳定，到目前为止还没有发现具有流氓波（RW）现象。在本文中，我们首先研究了一些新型的非线性波结构，从而通过实现的时间依赖性和时间独立的电位进行了偏置的NLS方程，因此分别找到了稳定的新RW和W形孤子。此外，探索了两个或三个RW的相互作用，以使具有较高振幅的RW在偏置的NLS方程中产生具有实值的时间相关电位。最后，我们研究了具有复杂的Pt抗对称电位的NLS方程，从而发现了一些RWS和W形孤子子。这些新型结果将在设计相关的物理实验中很有用，以生成RW现象和W形孤子子，在散焦点相互作用的情况下，并将其应用于非线性甚至线性科学的相关领域。
The defocusing nonlinear Schrödinger (NLS) equation has no the modulational instability, and was not found to possess the rogue wave (RW) phenomenon up to now. In this paper, we firstly investigate some novel nonlinear wave structures in the defocusing NLS equation with real-valued time-dependent and time-independent potentials such that the stable new RWs and W-shaped solitons are found, respectively. Moreover, the interactions of two or three RWs are explored such that the RWs with higher amplitudes are generated in the defocusing NLS equation with real-valued time-dependent potentials. Finally, we study the defocusing NLS equation with complex PT -symmetric potentials such that some RWs and W-shaped solitons are also found. These novel results will be useful to design the related physical experiments to generate the RW phenomena and W-shaped solitons in the case of defocusing nonlinear interactions, and to apply them in the related fields of nonlinear or even linear sciences.
