A Newly Revised Inverse Scattering Transform for DNLS^(+) Equation under Nonvanishing Boundary Condition  

作　　者：ZHOU Guoquan 

机构地区：[1]School of Physics and Technology,Wuhan University,Wuhan 430072,Hubei,China

出　　处：《Wuhan University Journal of Natural Sciences》2012年第2期144-150,共7页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(10775105)

摘　　要：A newly revised inverse scattering transform（IST） for the derivative nonlinear Schrdinger（DNLS＋） equation with non-vanishing boundary condition（NVBC） and normal group velocity dispersion is proposed by introducing a suitable affine parameter in Zakharov-Shabat integral kern.The explicit breather-type one-soliton solution,which can reproduce one pure soliton at the de-generate case and one bright soliton solution at the limit of van-ishing boundary,has been derived to verify the validity of the revised IST.A newly revised inverse scattering transform（IST） for the derivative nonlinear Schrdinger（DNLS＋） equation with non-vanishing boundary condition（NVBC） and normal group velocity dispersion is proposed by introducing a suitable affine parameter in Zakharov-Shabat integral kern.The explicit breather-type one-soliton solution,which can reproduce one pure soliton at the de-generate case and one bright soliton solution at the limit of van-ishing boundary,has been derived to verify the validity of the revised IST.

关 键 词：SOLITON nonlinear equation derivative nonlinear Schrodinger equation inverse scattering transform Zakharov-Shabat equation 

分 类 号：O415[理学—理论物理] O175.29[理学—物理]