Existence and stability analysis of solitary waves in a tricrystal junction

We consider a tricrystal junction, i.e., a system of three long Josephson junctions coupled at a common end point. The system admits solitary waves sitting at or near the common point. Especially when one of the junctions is a π-junction, there is a solitary wave created at the branch point. The stability and the dynamics of all existing solitary waves of the time-independent system are studied analytically and numerically. The present study is of interest also for experimentalists since the system is a base for a network of transmission lines.