Abstract:

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.

Key words: Jacobi elliptic function method, Davey-Stewartson equation, travelling wave solution, soliton solution