基于对称分析,给出了带有源项f(u)的一般Burgers方程的非古典对称分类,并得到了相应源项的具体表达式.另外,对分类中得到的部分无穷小算子和相应的源项,通过求不变解构造了方程的一些新的精确解.
Based on symmetry analysis,the nonclassical symmetry classification of the general Burgers' equation with a source termf(u)is given.The specific expressions of the corresponding source terms are also derived.In addition,some new exact solutions of the equation are constructed by solving the invariant solutions for several infinitesimal generators of the obtained nonclassical symmetries and expressions of the corresponding source terms in the classification.