论文标题
离散非线性schrödinger方程的一般流氓波解决方案
General rogue wave solutions to the discrete nonlinear Schrödinger equation
论文作者
论文摘要
在本文中,我们试图通过KP-TODA还原法构建全离散的非线性Schrödinger(FD-NLS)方程的一般流氓波解。首先,我们从一对双线性方程式开始推断FD-NLS方程的一般呼吸溶液。然后,我们通过限制呼吸溶液来得出一般的流氓波解。
In the present paper, we attempt to construct both the general rogue wave solutions to the fully discrete nonlinear Schrödinger (fd-NLS) equation via the KP-Toda reduction method. First, we deduce the general breather solution of the fd-NLS equation starting from a pair of bilinear equations. We then derive the general rogue wave solution by taking a limit to the breather solution.