Bright optical solitons with Kerr law nonlinearity and fifth order dispersion

In this work, we investigate optical solitons with fifth-order dispersion and Kerr nonlinearity. By means of the coupled amplitude-phase formulation, we derive the basic nonlinear equation describing the dynamics of the pulse amplitude as it propagates in nonlinear dispersive media. The ansatz approach is utilized to analytically solve the derived equation with fifth-degree nonlinear term. Two families of bright soliton solutions with different amplitudes are obtained in the most general case, when all terms related to even and odd hierarchical orders are present in the model. These localized structures exist due to a balance among several higher order dispersion and nonlinear terms of different nature. The constraint conditions for the existence of soliton pulses are presented.