Cnoidal wave solutions for the optical Benney-Luke equation

Abstract

At proper scale of the asymptotic analysis, the optical Benney-Luke equation (OBLE) explains the propagation of a continuous wave (cw) laser beam in a nonlocal non-linear defocusing media. By means of an OBLE and appropriate boundary conditions, we have obtained non-linear periodic wave solutions. The corresponding analytical expressions and numerical plots of the cnoidal waves in the phase plane are presented using the Sagdeev pseudo-potential approach. Our results are written in terms of the media nonlocality through the optical surface tension parameter.