Makarov V A, Petnikova V M, Shuvalov V V
Opt Express. 2014 Nov 3;22(22):26607-12. doi: 10.1364/OE.22.026607.
An approximate analytical solution of the non-integrable problem of steady-state adiabatic interaction of a cnoidal wave with a breather is obtained. The solving algorithm is described by the example of one-dimensional problem of steady-state interaction of a plane cnoidal wave with circular polarization (the "information" signal) with orthogonally polarized rational soliton (the "control" signal) in an isotropic nonlinear gyrotropic medium with Kerr nonlinearity and second-order group-velocity dispersion. It is shown that such the interaction results in a strong amplitude and frequency modulation of the information signal and this modulation is localized in the region where intensity of the control signal changes.
得到了椭圆余弦波与呼吸子稳态绝热相互作用的不可积问题的近似解析解。通过在具有克尔非线性和二阶群速度色散的各向同性非线性旋光介质中，平面圆偏振椭圆余弦波（“信息”信号）与正交偏振有理孤子（“控制”信号）稳态相互作用的一维问题实例，描述了求解算法。结果表明，这种相互作用导致信息信号出现强烈的幅度和频率调制，并且这种调制局限于控制信号强度变化的区域。
