Qualitative analysis and optical solitons for the (1+1)-dimensional Biswas-Milovic equation with parabolic law and nonlocal nonlinearity

Abstract

In this paper, the (1+1)-dimensional Biswas-Milovic equation with parabolic law and nonlocal nonlinearity is studied. Firstly, the Biswas-Milovic equation with parabolic law and nonlocal nonlinearity is transformed into ordinary differential equation through traveling wave transformation. Secondly, two-dimensional planar dynamic system is given by using the trial method of polynomial for rank homogeneous equations together with the principle of homogeneous balance. Moreover, the phase portrait of the dynamical system is given. Meanwhile, the phase portrait, Poincaré section and sensitivity analysis of its perturbation system are drawn by mathematical software. Finally, the optical soliton solutions of the Biswas-Milovic equation with parabolic law and nonlocal nonlinearity are constructed by using the complete discrimination system method.