many of the exact solutions of (3+1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
首先通过变换关系和求解简单的常微分方程,得到了(3+1)维破裂孤子方程丰富的孤立波解和周期波解。
finally, by virtue of the riemann-jacobi inversion, the solution of the soliton equation is represented in the original variable explicitly.
最后,通过反演到原来的坐标,将孤子方程的解显式地表出。
the paper reviews the evolution of soliton research, and describes the soliton effect in optical fiber. in particular, it introduces the soliton equation and principle of soliton laser.
简述光纤孤子通信研究的进程,并讨论在光纤中孤子形成的机理。文中还介绍光孤子方程和孤子光源的基本原理。
solving the soliton equation numerically, we find that waveguides induced by grey screening solitons are always single mode for all intensity rations.
通过数值解孤子方程发现,灰屏蔽孤子诱导的波导在任意光强比率下均为单模。