Abundant families of Jacobi elliptic function solutions of the (2+1)-dimensional integrable Davey-Stewartson-type equation via a new method

Our extended Jacobi elliptic function expansion method is further improved to be a more powerful method, which is still called the extended Jacobi elliptic function expansion method, by using 12 Jacobi elliptic functions. The new (2 + 1)-dimensional integrable Davey-Stewartson-type is chosen to illustrate the approach. As a consequence, 24 families of Jacobi elliptic function solutions are obtained. When the modulus m --> 1, these doubly periodic solutions degenerate as soliton solutions. The method can be also applied to other nonlinear differential equations. (C) 2003 Elsevier Science Ltd. All rights reserved.