文章基本信息

标题：A Coupled Higher-Order Nonlinear $Schr{\ddot{o}}dinger$ Equation Including Higher-Order Bright and Dark Solitons
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作者：Kim, Jong-Bae
期刊名称：ETRI Journal
印刷版ISSN：1225-6463
电子版ISSN：2233-7326
出版年度：2001
卷号：23
期号：1
页码：9-9
语种：English
出版社：Electronics and Telecommunications Research Institute
摘要：We suggest a generalized Lax pair on a Hermitian symmetric space to generate a new coupled higher-order nonlinear equation of a dual type which contains both bright and dark soliton equations depending on parameters in the Lax pair. Through the generalized ways of reduction and the scaling transformation for the coupled higher-order nonlinear equation, two integrable types of higher-order dark soliton equations and their extensions to vector equations are newly derived in addition to the corresponding equations of the known higher-order bright solitons. Analytical discussion on a general scalar solution of the higher-order dark soliton equation is then made in detail.