一类含有气泡的压力波方程的不变子空间

Invariant subspaces of a family of pressure wave equation with bubbles

目的一类含有气泡的压力波方程的精确解的构造。方法不变子空间的方法。结果得出方程中非线性微分算子允许的不变子空间。结论利用所得的不变子空间可以构造出方程更多的精确解,从而丰富了这类方程解的研究。

Purposes--To construct exact solutions for a family of pressure wave equations with bubbles. Methods--Invariant subspaces method is used to solve the aforesaid problem. Results--In- variant subspaces allowed by the nonlinear differential operator in the equation are obtained. Conclu- sion-More abundant exact solutions of the equations are constructed by the gained invariant sub- spaces, thus enriching the study of the solutions to these equations.