简单谎言点对称减小过程被用来无穷地获得许多对称到联合 KdV 方程的一个新 integrable 系统。用方程的某 symmetrysubalgebra,重要类似减小的五种类型被谎言组途径的优点获得,并且获得联合 KdV 方程的丰富的答案,例如独居的波浪答案,指数的答案,合理答案,多项式答案,等等。
The simple Lie point symmetry reduction procedure is used to obtain infinitely many symmetries to a new integrable system of coupled KdV equations. Using some symmetry subalgebra of the equations, five types of the significant similarity reductions are obtained by virtue of the Lie group approach, and obtain abundant solutions of the coupled KdV equations, such as the solitary wave solution, exponential solution, rational solution, polynomial solution, etc.