Applications of (G′/G) expansion method to traveling wave solutions for Klein-Gordon- Schrödinger equations

The coupled Klein-Gordon-Schrödinger equations is a classical model which describes the interaction between conservative complex neutron field and neutral meson Yukawa in quantum field theory. In this paper, the traveling wave solutions involving parameters of the Klein-Gordon-Schrödinger equations are derived by using the G´/G-expansion method proposed recently, when the parameters are taken as special values the solitary waves are also derived from the traveling waves, and these exact solutions are very important to understand the physical mechanism of the phenomena described by the coupled Klein-Gordon-Schrödinger equations.