KP方程的Wronski行列式解研究

The Wronski Determinant Solution of KP Equation

偏微分方程在科学和工程中有广泛的应用,因此探讨它们严格解的求法是非常重要的问题。随着孤立子理论的发展,求解某类非线性偏微分方程的一些理论和方法应运而生。介绍了基于Hirota方法和Wronski技巧,并以KP方程为例说明。

It is well--known that partial differential equations have wide applications in Science and Engineering, therefore to find their exact solutions is very important. With the development of soliton theory, several approaches have been proposed to construct exact solutions for nonlinear partial differential equations. In this paper, we will introduce one of them, namely, the Wronski technique. KP equation is taken as an example for demonstration.