The oscillating solitons for a coupled nonlinear system in nanoscale saturated ferromagnetic materials

A coupled nonlinear system is investigated, which describes the nonlinear short-wave propagation in nanoscale saturated ferromagnetic materials. A series of analytic solutions is constructed via Riccati equation mapping method. Furthermore, two types of novel periodically oscillating solitons are observed by choosing the arbitrary function in the soliton solution as trigonometric function and Jacobian elliptic function, respectively. The parameters can be used to control the compression, stretch, oscillating amplitude and frequency of the solitons.