论文标题
NLS方程的两个分量非线性波
Two-component nonlinear wave of the NLS equation
论文作者
论文摘要
使用广义扰动还原方法，标量非线性schrödinger方程将转换为辅助函数的耦合的非线性schrödinger方程。获得了一种以两分量矢量非线性脉冲形式的解。脉冲的成分与频率和波数的总和和差异振荡。提出了两组分非线性脉冲的形状和参数的显式分析表达式。
Using the generalized perturbation reduction method the scalar nonlinear Schrödinger equation is transformed to the coupled nonlinear Schrödinger equations for auxiliary functions. A solution in the form of a two-component vector nonlinear pulse is obtained. The components of the pulse oscillate with the sum and difference of the frequencies and wave numbers. Explicit analytical expressions for the shape and parameters of the two-component nonlinear pulse are presented.
