论文标题
二维准线性进化方程的Abelian Lie对称代数
Abelian Lie symmetry algebras of two-dimensional quasilinear evolution equations
论文作者
论文摘要
我们进行了二维二阶非排定准线性进化方程的Abelian Lie对称代数的分类。结果表明,如果该方程允许尺寸大于或等于五个或等于五个或等于三个的尺寸或等于级别的尺寸,则可以线性化。
We carry out the classification of abelian Lie symmetry algebras of two-dimensional second-order nondegenerate quasilinear evolution equations. It is shown that such an equation is linearizable if it admits an abelian Lie symmetry algebra that is of dimension greater than or equal to five or of dimension greater than or equal to three with rank one.