Chirped bright and dark solitons of electric and magnetic coupled nonlinear field equations in negative-index metamaterials

The generalized coupled nonlinear Schrödinger equations govern the pulse propagation of electric and magnetic fields in negative index materials. Based on the F-function expansion method, Jacobian elliptic function solution and bright and dark soliton solutions are obtained. Dynamics behaviors of bright and dark solitons are studied. Bright and dark solitons exist both in the normal dispersion regimes. The amplitudes and widths of bright and dark solitons are decided by parameters SE, SH related to electric and magnetic self-steepening effects. The phase chirp of bright and dark soliton shifts along the positive time-axis with the increase of the propagation distance.