微扰孤子NLS和SG方程的精确解

Accurate Solutions of the Perturbed Soliton NLS and SG Equations

孤子微扰的实质是使孤立波的波形高度、波形宽度和波的传播速度等随时间和空间发生缓慢变化 .如果在 NLS方程和 SG方程的解中引入微扰项因子 ,借助于微扰的 NLS方程和SG方程 ,就能分别获得 NLS微扰方程和 SG微扰方程的微扰项 R〔u〕的解析式 .因此 ,就获得了微扰孤子 NLS和

The soliton perturbation makes actually the height,width and velcocity of the soliton wave changed slowly on time and space.Introducing factors on the perturbed items into the solutions of the Standard NLS and SG equations,respectively,utilizing the perturbed NLS and SG equations,we can obtain the function expression of the perturbed items R〔u〕 in the perturbed soliton NLS and SG equations.Therefore,we can obtain the accurate solutions of these perturbed equation.