Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 82, pp. 1-12. Title: Solitary waves for the coupled nonlinear Klein-Gordon and Born-Infeld type equations Author: Feizhi Wang (Yantai Univ., Shandong, China) Submitted December 22, 2011. Published May 23, 2012. Math Subject Classifications: 35J15. Key Words: Nonlinear Klein-Gordon; Born-Infeld type equation; electrostatic solitary wave; critical points.