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光孤波或光孤子由于具有在传输过程中保持波形不畸变等特点而在超高容量的光通信及超快过程等方面有着广阔的应用前景,现已越来越引起人们的研究兴趣.从数学上看,这些光孤子大都是1+1维非线性Schr(?)dinger方程(NLSE)或可变换为NLSE方程的一类特殊解,其中包含有两种分别称之为亮和暗的孤波解.从物理上又可分为所谓的时间孤子和空间孤子.现在,上述几种不同的孤波都已在特定的条件下先后被实验所证实.近几年来,对于更一般化的空间时间相互耦合的高维波动方程人们也进行了解析及数值性的尝试研
Optical solitons and solitons have been widely used in ultra-high-capacity optical communications and ultra-fast processes due to their characteristics of undistorted waveforms in the transmission process and have attracted more and more researchers’ interest. Mathematically, most of these solitons are the 1 + 1-dimensional nonlinear Schrodinger equation (NLSE) or a class of special solutions that can be transformed into the NLSE equation, including two solitons called bright and dark Wave solvers can be physically divided into so-called time solitons and space solitons. Now, the above several different solitons have been verified experimentally under certain conditions. In recent years, for a more generalized space Time-coupled high-dimensional wave equations are also analyzed and numerically tried