非线性Schrdinger-Boussinesq方程的近似惯性流形

Approximate Inertial Manifold for Nonlinear Coupled Schrdinger-Boussinesq Equations

考虑了有限区域上的非线性Schr dinger Boussinesq耦合方程组的近似惯性流形的存在性问题 .通过不同的惯性方程 ,得到了几种不同形式的近似惯性流形 ,并且证明了这些惯性流形对原耦合方程组的解具有较好的逼近程度 .

The existence problem of approximate inertial manifold (AIM) for coupled nonlinear Schrdinger-Boussinesq equations in finite domain is considered in this paper. Several types of approximate inertial manifolds are constructed by different inertial equations. It is shown that these approximate inertial manifolds approach well to the solution of coupled Schrdinger-Boussinesq equations.