%0 Journal Article %T The fundamental problem of inverse scattering method in solving the DNLS equation
求解DNLS方程的反散射法的基本问题 %A He Jin-Chun %A Chen Zong-Yun %A Huang Nian-Ning %A
何进春 %A 陈宗蕴 %A 黄念宁 %J 物理学报 %D 2009 %I %X This is a basic work on the inverse scattering transform that constructs the complete orthonormal system of the free Jost solution. In order to establish the system for the DNLS equation, we introduce a new transform for the spectral parameter and a gauge transform. The Marchenko's equation and the Zakharov-Shabat's equation of inverse scattering are derived based on the new spectral parameter. %K the DNLS equation %K inverse scattering method %K free Jost solution %K complete orthonormal system
DNLS方程 %K 反散射法 %K 自由Jost解 %K 规范正交系 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=7D8E83C873EB1927DE30D241EC5F1A40&yid=DE12191FBD62783C&vid=9FFCC7AF50CAEBF7&iid=9CF7A0430CBB2DFD&sid=DF4BBE6A20D50B62&eid=EE3236922E16D795&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0