Demonstration of Inverse Scattering Transform in G-L-M Formalism for NLS Equation in Normal Dispersion with Non-vanishing Boundary
Demonstration of Inverse Scattering Transform in G-L-M Formalism for NLS Equation in Normal Dispersion with Non-vanishing Boundary
复制标题
非零边界正态色散中NLS方程的G-L-M形式的散射逆变换论证
DOI：
10.1088/0253-6102/50/6/27
复制
发表时间：
2008
影响因子：
3.1
通讯作者：
Yang Chun-Nuan
中科院分区：
文献类型：
--
作者：
Huang Nian-Ning;He Jin-Chun;Yang Chun-Nuan
Using the integral representation of the Jost solution, we deduce some conditions as the kernel function N (x, y, t) if the Jost solution satisfies the two Lax equations. Then we verify the multi-soliton solution of NLS equation with non-vanishing boundary conditions if we prove that these conditions can be demonstrated by the GLM equation, which determines the kernel function N (x, y, t) in according to the inverse scattering method.
