论文标题
调制的谐波波串联连接离散约瑟夫森传输线:离散演算方法
Modulated harmonic wave in series connected discrete Josephson transmission line: the discrete calculus approach
论文作者
论文摘要
我们考虑了连接的约瑟夫森传输线(JTL)中的调制谐波波。我们根据离散的演算为离散波方程的调制问题制定方法。我们通过将其应用于Fermi-Pasta-ulam-tsingou类型问题来检查该方法。将方法应用于离散的JTL,我们获得了描述调制幅度的方程式,事实证明这是通过非线性schrödinger(NLS)方程的散落。我们将NLS的单个孤子解决方案与以前出版物中获得的孤子的概况进行了比较。
We consider the modulated harmonic wave in the discrete series connected Josephson transmission line (JTL). We formulate the approach to the modulation problems for discrete wave equations based on discrete calculus. We check up the approach by applying it to the Fermi-Pasta-Ulam-Tsingou type problem. Applying the approach to the discrete JTL, we obtain the equation describing the modulation amplitude, which turns out to be the defocusing nonlinear Schrödinger (NLS) equation. We compare the profile of the single soliton solution of the NLS with that of the soliton obtained in our previous publication.