%0 Journal Article %T New approach for tanh and extended-tanh methods with applications on Hirota-Satsuma equations %A Hassan A. Zedan %J Computational and Applied Mathematics %D 2009 %I %X In this work, we establish new exact solutions for the Hirota-Satsuma equations. New approach for the tanh is used and extended tanh methods to construct traveling wave solutions in terms of a hyperbolic tangent functions. New families of solitary wave solutions and periodic solutions are also obtained for Hirota-Satsuma equations. Our approach is reduce the size of the computational adopted in other techniques without any conditions to apply on any system of partial differential equations. %K Tanh method %K extended tanh method %K Hirota-Satsuma equations %K traveling wave solutions %K solitary wave solutions %U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000100001