Abstract
In this paper, we study the optical model in metamaterials with nonlinear influence of non-Kerr law and a few Hamiltonian perturbation terms. The nonlinearity of metamaterials is dominated by anti-cubic type. We apply the approach of dynamical system to find the travelling wave solutions of the optical model. Under different parameter conditions, bifurcations of phase portraits and exact periodic solutions, homoclinic and heteroclinic solutions, peakon, periodic peakons as well as compacton solutions for this planar dynamical system are given. By using the first integral, exact solutions of can be calculated under different parameter conditions. 83 exact explicit parametric representations are derived.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
