Dissipative optical solitons are self-trapped nonlinear waves arising in optical media from the dynamic interplay between linear and nonlinear effects, as well as between gain and loss. Although they were first proposed and discovered in mode-locked lasers, similar nonlinear structures have also been found to exist in other fields seemingly far away from photonics such as biology and medicine. This ubiquitous character makes the study of their existence and stability domains, overall properties, and mutual interactions key to understand different transient dynamics in complex systems.

In this work, Latas and Ferreira report a thorough theoretical study of the head-on collisional dynamics of a special type of dissipative solitary waves, the so-called creeping solitons that exhibit a pulsating non-stationary profile. Simulated collisions between two such waves are found to display a rich variety of outcomes ranging from periodic oscillations to intricate non-regular behavior, depending on the parameters of the system and the initial conditions. These interesting results might help to understand the complex transient dynamics occurring during the initial stages of operation of devices such as novel mode-locked lasers.

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