摘要
某真正可变的系数的谎言对称减小“从一个类被选出的波浪方程(1 + 1 ) 维的可变系数关于一个和二维的代数学的非线性的波浪方程被执行。调查方程的准确答案的一些班借助于象另外的相等的转变那样的减小和一些现代技术被发现并且等等隐藏对称。有条件的对称也被讨论。
Lie symmetry reduction of some truly ＂variable coefficient＂ wave equations which are singled out from a class of （1 ＋ 1）-dimensional variable coefficient nonlinear wave equations with respect to one and two-dimensional algebras is carried out. Some classes of exact solutions of the investigated equations are found by means of both the reductions and some modern techniques such as additional equivalent transformations and hidden symmetries and so on. Conditional symmetries are also discussed.
基金
Supported by the National Key Basic Research Project of China under Grant No.2010CB126600
the National Natural Science Foundation of China under Grant No.60873070
Shanghai Leading Academic Discipline Project No.B114
the Postdoctoral Science Foundation of China under Grant No.20090450067
Shanghai Postdoctoral Science Foundation under Grant No.09R21410600
