Demonstration of Inverse Scattering Transform in G-L-M Formalism for NLS Equation in Normal Dispersion with Non-vanishing Boundary  

作　　者：YANG Chun-Nuan HE Jin-Chun HUANG Nian-Ning 

机构地区：[1]Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China [2]Department of Physics, Wuhan University, Wuhan 430072, China

出　　处：《Communications in Theoretical Physics》2008年第12期1375-1380,共6页理论物理通讯（英文版）

基　　金：the Huazhong University of Science and Technology under Grant No.0101011110;National Natural Science Foundation of China under Grant No.10375041

摘　　要：Using the integral representation of the Jost solution,we deduce some conditions as the kernel functionN(x,y,t)if the Jost solution satisfies the two Lax equations.Then we verify the multi-soliton solution of NLS equationwith 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.

关 键 词：NLS^＋ equation inverse scattering method Gel＇fand Levitan Marchenko equation 

分 类 号：O41[理学—理论物理]