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 secq-tanhqq-deformed hyperbolic functions based on the idea of the homogeneous balance method. © 2004 Elsevier Ltd. All rights reserved.