Recursion Operators for Dispersionless KP Hierarchy

Based on the corresponding theorem between dispersionless KP(dKP)hierarchy and -dependent KP ( KP) hierarchy, a general formal representation of the recursion operators for dKP hierarchy under n-reduction is given in a systematical way from the corresponding KP hierarchy. To illustrate this method, the recursion operators for dKP hierarchy under 2-reduction and 3-reduction are calculated in detail.     

THE RECURSION OPERATOR FOR A CONSTRAINED CKP HIERARCHY

This paper gives a recursion operator for a 1-constrained CKP hierarchy, and by the recursion operator it proves that the 1-constrained CKP hierarchy can be reduced to the mKdV hierarchy under condition q = r.     

具有Uqp(U3)Uqp)(U2) Uqp(SO2)对称的双参数形变二维相互作用玻色子模型

构造了具有U_qp(U₃) U_qp(U₂) U_qp(SO₂)对称的双参数qp-形变二维相互作用玻色子模型(IBM),并给出了其能谱和跃迁矩阵元.结果表明,能谱和跃迁矩阵元极其敏感地依赖于第二个形变参数.     

m维各向同性谐振子的能级简并度

本文给出了一种计算任意维各向同性谐振子能级简并度的简便方法。     

（2＋1）维破碎孤子方程的约束分解和它的特殊解

论文将一个（2＋1）维的破碎孤子方程分解成（1＋1）维的NLS和复MKdV的方程组。在这样的分解下，利用Darboux变换，可以获得原方程的孤子解。     

外电场中平面转子的第一激发态修正

利用一级近似下简并完全没有消除情形下的二级修正公式，讨论了平面转子在外电场中第一激发态修正。     

Dynamics of the Smooth Positons of the Wadati-Konno-Ichikawa Equation

We discuss a modified Wadati-Konno-Ichikawa(m WKI) equation,which is equivalent to the WKI equation by a hodograph transformation.The explicit formula of degenerated solution of m WKI equation is provided by using degenerate Darboux transformation with respect to the eigenvalues,which yields two kinds of smooth solutions possessing the vanishing and nonvanishing boundary conditions respectively.In particular,a method for the decomposition of modulus square is operated to the positon solution,and the approximate orbits before and after collision of positon solutions are displayed explicitly.     

约束离散KP方程族的完全Virasoro对称

首先讨论了约束离散KP可积方程族一种等价形式:差分算子的商.接下来,利用这种新的描述形式,构造了约束离散KP方程族的完全Virasoro对称.     

Bound-State Soliton Solutions of the Nonlinear Schr?dinger Equation and Their Asymmetric Decompositions

We study the asymmetric decompositions of bound-state(BS) soliton solutions to the nonlinear Schr?dinger equation. Assuming that the BS solitons are split into multiple solitons with different displacements, we obtain more accurate decompositions compared to the symmetric decompositions. Through graphical techniques, the asymmetric decompositions are shown to overlap very well with the real trajectories of the BS soliton solutions.     

外电场中平面转子的第一激发态修正

利用一级近似下简并完全没有消除情形下的二级修正公式，讨论了平面转子在外电场中第一激发态修正。