Existence of solitary traveling waves in discrete Klein–Gordon-type equations with nonlocal interaction
摘要
The article deals with discrete Klein–Gordon-type equations that describe infinite chains of linearly coupled nonlinear oscillators with nonlocal interaction. It is assumed that every oscillator interacts with several neighbors on both sides. The main result concerns the existence of solitary traveling wave solutions for such equations. By means of the critical point theory, sufficient conditions for the existence of such solutions are obtained.