一维非线性点阵中的孤子

SOLITONS IN ONE-DIMENSIONAL NONLINEAR LATTICE

报道在带阻尼参数激励下的一维非线性点阵中所观察到的非传播孤子现象。并在理论上采用多重尺度展开法把同相和错相的孤子与扭结实验结果归入立方非线性Schrodinger方程的理论框架。根据非线性Schrodinger方程,我们预言在这种实验点阵中,自局域结构的波型只取决于点阵的固有参量,而与激励参数无关。

We report here the experimental observations for non-propagational solitons in the one-dimensional nonlinear lattice that are damped and parametrically driven. Theoretrically, Using the method of multiple-scaling expansion. We have well brought the experimental results of both soliton and kink in both models in match and mismatch into the frame of the cubic nonlinear Schrodinger (NLS) equation. According to NLS, we predict that the form of the self-localized structure is only determineted by the intrinsic parameters of the lattice, rather than the exciting ones.