双核非线性光导纤维材料的整体吸引子

Global Attractor of Nonlinear Optical Fibre Materials with Two Cores

利用Ginzberg-Landau数学模型描述了一种具有主动和被动非线性耦合双核的光波传输材料.使用经典的Gerlerkin逼近方法证明了周期边解条件下立方耗散被动核的非线性双核光导纤维材料整体解的存在性和唯一性,并通过耗散波的能量衰减估计得到了非线性双核半导体材料的整体吸引子.

Ginzberg-Landau system was used to describe a class of nonlinear optical fiber materials with active and passive coupled cores. By means of the classical Gerlerkin approximation, the existence and uniqueness of solution to the nonlinear optical fiber materials with a cubic dissipative term and periodic boundary conditions were proved. By means of the decay estimates of energies of dissipative waves, the global attractor of the nonlinear semiconductor materials was obtained.