A wide class of coupled nonlinear Schrödinger(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 coupl...A wide class of coupled nonlinear Schrödinger(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 withσ1 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.展开更多
基金by the National Natural Science Foundation of China under Grant Nos 11001250 and 10871182the Natural Science Foundation of the Education Department of Henan Province(2008B110022).
文摘A wide class of coupled nonlinear Schrödinger(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 withσ1 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.
