论文标题
一系列进化方程式的综合类
Integrable classes of a family of evolution equations
论文作者
论文摘要
针对由任意函数标记的二阶非线性进化方程的家族解决了分类为对称性集成类的问题。因此，获得了四个非效率的对称性集成类，并将结果转化为文献中已知的集成方程。还为所有可找到的对称性集成类提供了递归运算符，其中一些是某些规范类别的唯一一个。
The problem of classification into symmetry integrable classes is solved for a family of second order nonlinear evolution equations labeled by arbitrary functions. Four nonequivalent symmetry integrable classes are thus obtained and the results are transformed into known integrable equations from the literature. Recursion operators are also given for all the symmetry integrable classes found, some of which are the only ones known for some of the canonical classes.
