【摘要】 许多重要的自然科学问题和工程问题都可以归结为非线性偏微分方程。从传统的角度来看,非线性偏微分方程的多孤子解是很难得到的。经过几十年的研究和探索,已经发现了一些构造精确解的方法。借助于科尔-霍普夫变换和Af+B=0方法,获得了Burgers方程和KP方程的多孤子解。该方法能够解决一系列偏微分方程。更多还原

【Abstract】 Many significant natural science and engineering problems can be attributed to nonlinear partial differential equation. From the traditional point of view, n-soliton solutions of partial differential equation are hard to get. After several decades of research and exploration,we have found some tectonic exact solution method. With the help of Cole-Hopf transformation method and the Af + B= 0 method,n-soliton solutions of the Burgers equation and the KP equation were presented. This method could solve a series of partial differential equations.更多还原