Generating multibreather vector solitons by influencing the Manakov model and its modified forms with the linear self and cross coupling parameters

We have realized for the first time the multibreather vector multi-solitons supporting collision dynamics with many interaction effects (namely reflection, attraction, beating, etc., effects) associated with the coupled nonlinear Schrödinger family equations having multiple applications. Such effects can be suppressed or enhanced by using the soliton parameters. Here each colliding multibreather vector one-soliton is composed with many soliton and antisoliton parts. Our solutions have freedom to control the number of soliton and antisoliton parts used to compose a vector one-soliton with a definite breathing length. It is also interesting to observe that the breathing maps associated with the obtained solutions depend on their free parameters and also the system parameters. All such investigations help us to realize different breathing mechanisms (namely pedaling, toggling, symmetric compression, symmetric elongation, asymmetric compression, asymmetric elongation, etc.) supported by the colliding one-solitons. An existing breathing mechanism of a given vector breather one-soliton can be suppressed or switched into another mechanism by tuning certain parameters appropriately. Because of such features we believe that this kind of study will further give impetus on the Lindner–Fedyanin system in the continuum limit, and find the potential applications in fiber coupler and also in Bose–Einstein condensates.