一个广义Toda孤子族的非线性可积耦合系统

A Real Nonlinear Integrable Coupling for Generalized Toda Soliton Hierarchy

从非半单的矩阵李代数出发,构造新的Lax对,给出了一种新的建立非线性可积耦合系统的方法.并将这种方法直接运用到广义的Toda谱问题中,得到了一个新的真正的非线性离散可积耦合系统.

In this paper, beginning with Lax pairs from special non-semisimple matrix Lie algebras, we establish a scheme for constructing nonlinear discrete integrable couplings. A direct application to the generalized Toda spectral problem leads to a novel nonlinear discrete integrable coupling, which is a real nonlinear integrable coupling.