On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV of equations

In this paper an algebraic method is devised to construct new exact wave soliton solutions for two generalized nonlinear Hirota-Satsuma coupled KdV systems of partial differential equations using symbolic software like Mathematica or Maple in terms of sn(x) - cn(x) Jacobic elliptic functions and sec(q) - tanh(q) q-deformed hyperbolic functions based on the idea of the homogeneous balance method. (C) 2004 Elsevier Ltd. All rights reserved.