BIFURCATIONS AND EXACT SOLUTIONS OF THE OPTICAL SOLITON MODEL IN METAMATERIALS DOMINATED BY ANTI-CUBIC NONLINEARITY

Optical soliton model in metamaterials, dominanted by anti-cubic nonlinearity, is investigated by the method of dynamical systems. By using travelling wave transformation, the model can be converted into a singular integrable travelling wave system. Then we discuss the dynamical behavior of the associated regular system. Further, all bounded exact solutions of the model can be calculated because of its integrability. Finally, twenty exact explicit parametric representations are derived.