Rogers C, Chow K W
Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems, School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Sep;86(3 Pt 2):037601. doi: 10.1103/PhysRevE.86.037601. Epub 2012 Sep 17.
Quintic derivative nonlinear Schrödinger equations arise in various physical contexts, notably in the study of hydrodynamic wave packets and media with negative refractive index. A procedure to isolate propagating wave patterns in such nonlinear Schrödinger equations is proposed which is based on two integrals of motion. As an illustration of the method, a "gray" solitary pulse, a "dark" localized mode with nonzero minimum in intensity on a continuous-wave background is identified.
五次导数非线性薛定谔方程出现在各种物理情境中，特别是在流体动力学波包和负折射率介质的研究中。本文提出了一种基于两个运动积分来分离此类非线性薛定谔方程中传播波模式的方法。作为该方法的一个示例，我们识别出了一种“灰色”孤立脉冲，即在连续波背景上强度具有非零最小值的“暗”局域模式。
