This paper presents a swarm robotics approach for dual non-cooperative search, where two robotic swarms are deployed within a map with the goal to find their own target point, placed at an unknown location of the map. We consider the self-centered mode, in which each swarm tries to solve its own goals with no consideration to any other factor external to the swarm. This problem, barely studied so far in the literature, is solved by applying a popular swarm intelligence method called bat algorithm, adapted to this problem. Five videos show some of the behavioral patterns found in our computational experiments.