Exact solutions of the classical Drinfel'd-Sokolov-Wilson equations and the relations among the solutions

With the aid of MATHEMATICA, and using a direct algebraic method, four kinds of exact solutions of the classical Drinfel's-Sokolov-Wilson equations (DSWEs) are presented by formula form. Then the exponential function solutions, the hyperbolic function solutions and the triangular function solutions of the classical DSWEs are obtained in a unified way. From the results one can see there are certain relations among the solutions. (C) 2002 Elsevier Science B.V. All rights reserved.