题目：The general traveling wave solutions of the Fisher type equations and some related problems

内容摘要：

In this talk, we introduce two recent results with respect to the integrality and exact solutions of the Fisher type equations and its applications. We obtain the sufficient and necessary conditions of integrable and the general meromorphic solutions of these equations by the complex method. Our results are of the corresponding improvements obtained by many authors. All traveling wave exact solutions of many non-linear partial differential equations are obtained by making use of our results. Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics. We will propose four analogue problems and expect that the answer is positive, at last.

我们介绍最近得到的关于Fisher型方程可积性与精确解及其应用的两个结果。我们运用复方法得到这些方程可积的充分必要条件和这些方程的亚纯通解。我们的结果改进了许多作者得到相应的结果。许多非线性偏微分方程的所有行波精确解可利用我们获得的结果得到。我们的研究结果表明，复方法是求数学物理中非线性偏微分方程精确解一个强有力的工具。最后，我们提出4个类似的问题，期望获得正面肯定的结果。

欢迎广大师生参加！