Novel solitary and periodic waves in quadratic-cubic non-centrosymmetric waveguides

Abstract

We present a wide class of novel solitary and periodic waves in a non-centrosymmetric waveguide exhibiting second-and third-order nonlinearities. We show the existence of bright, gray, and Wshaped solitary waves as well as periodic waves for extended nonlinear Schrödinger equation with quadratic and cubic nonlinearities. We also obtained the exact analytical algebraic-type solitary waves of the governing equation, including bright and W-shaped waves. The results illustrate the propagation of potentially rich set of nonlinear structures through the optical waveguiding media. Such privileged waveforms characteristically exist due to a balance among diffraction, quadratic and cubic nonlinearities.