一个(3+1)维非线性偏微分方程的有限对称变换群和精确解

基于符号计算与对称群直接法研究了一个(3+1)维非线性偏微分方程 的对称群与精确解, 获得该方程的李点对称群和非李对称群. 最后通过广义射影 展开法研究方程的精确解, 并由获得的有限对称变换群构造了相应新的一般解.

Finite Symmetry Transformation Groups and Some Exact Solutions of a (3+1)-dimensional Nonlinear Evolution Equation

Based on symbolic computation and the symmetry group direct method, we investigate symmetry groups and exact solution of a (3+1)-dimensional nonlinear evolution equation , both the Lie point symmetry groups and the non-Lie symmetry groups are obtained. Finally, using a generalized sub-equation expansion method, some exact solutions of the (3+1)-dimensional nonlinear evolution equation are derived, and the corresponding new solutions can be constructed through the finite symmetry transformation groups obtained.