论文标题
在晶格电位kp方程上
On the Lattice Potential KP Equation
论文作者
论文摘要
该论文提出了一种方法，该方法是通过F.W. Nijhoff等引入的晶格势溶液（LPKP）方程来得出有限属溶液。该方程是从离散ZS-AKNS光谱问题的三个复制品的兼容条件中重新得出的，这是连续ZS-AKNS光谱问题的Darboux转换。借助这些链接并通过所谓的非线性技术和liouville平台，得出了LPKP方程的有限属解。还讨论了具有一个和两个离散参数的半差异潜在的KP方程。
The paper presents an approach to derive finite genus solutions to the lattice potential Kadomtsev-Petviashvili (lpKP) equation introduced by F.W. Nijhoff, et al. This equation is rederived from compatible conditions of three replicas of the discrete ZS-AKNS spectral problem, which is a Darboux transformation of the continuous ZS-AKNS spectral problem. With the help of these links and by means of the so called nonlinearization technique and Liouville platform, finite genus solutions of the lpKP equation are derived. Semi-discrete potential KP equations with one and two discrete arguments, respectively, are also discussed.
