Davey-Stewartson方程新的Jacobi椭圆函数周期解

New Jacobi Elliptic Function Periodic Solutions of Davey-Stewartson Equation

用改进的Jacobi椭圆函数法,获得了Davey-Stewartson方程新的Jacobi椭圆函数周期解.结果表明,在极限情形下,部分解可以退化为相应的孤立子解和三角函数解.该方法也可用于求解其他非线性发展方程的精确行波解.

Using improved Jacobi elliptic function method, we obtained new Jacobi elliptic function periodic solutions of Davey-Stewartson equation. The results show that some of these solutions can be degenerated into the corresponding soliton solutions and triangular function solutions in the limit cases. This method can also be applied to solve the exact travelling wave solutions of other nonlinear evolution equations.