(2+1)-维非线性发展方程的对称约化和精确解

Symmetry reductions and exact solutions of a (2+1)-dimensional nonlinear evolution equation

利用直接对称方法,获得了(2+1)-维非线性发展方程的对称约化和精确解,包括雅可比椭圆函数解、双曲函数解、三角函数解等精确解。这些精确解在解释一些物理问题上有重要作用。

By applying a direct symmetry method,the symmetry reduction and some new exact solutions of the（2＋1）-dimensional nonlinear evolution equation are obtained,which include the Jacobi elliptic function,hyperbolic function,and trigonometric function.These exact solutions may be of importance in the explanation of some practical problems in physics.