This paper presents an automatic algorithm for detecting and generating solitary waves of
nonlinear wave equations. With this purpose, dynamic simulations are carried out, the
solution of which evolves into a main pulse along with smaller dispersive tails. The solitary
waves are detected automatically by the algorithm by checking that they have constant
amplitude and are symmetric respect to its maximum value. Once the main wave has been
detected, the algorithm cleans the dispersive tails for time enough so that the solitary wave is …