Coupled Nonlinear Schr(o)dinger Equations and the Miura Transformation

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2011,（9）
• 页码范围: 4-6
• 页数: 3页
• 语种: 英文
• DOI: 10.1088/0256-307X/28/9/090202

摘要

A wide class of coupled nonlinear Schr?dinger(NLS)equations are derived by virtue of the dressing method,and the associated parametric solutions are discussed.As an illustration,the explicit solution of the coupled NLS-type equation associated with σ1 is given.The Miura transformation for a AKNS-type hierarchy is established,from which a modified coupled NLS-type equation is shown to be equivalent to the Heisenberg spin equation.