A system consisting of isolated liquid nitrogen Leidenfrost drops and tori boundaries exhibits bridge formation, displaying self-organized oscillations, traveling waves, and regular patterns associated with thermal energy, continuous evaporation, and vapor flow beneath the liquid bridge. To accomplish the liquid bridge formation, liquid nitrogen drops and a thermally controlled substrate were used within a curved boundary. The formation, dynamics, and stability of liquid bridges can be studied in an isolated environment through the Leidenfrost effect, while mathematical modeling can describe these bridges. Investigations into this system imply the formation of solitons, which are modeled using nonlinear differential geometry. Understanding this system has applications in a wide variety of fields, including nonlinear fluid dynamics, microelectronics, crystal growth, microbiology, and cooling methods, such as those used for shuttle reentry.