Traveling Wave Evolutions of a Cosh-Gaussian Laser Beam in Both Kerr and Cubic Quintic Nonlinear Media Based on Mathematica

With the aid of Mathematica, three auxiliary equations, i.e. the Riccati equation, the Lenard equation and the Hyperbolic equation, are employed to investigate traveling wave solutions of a cosh-Gaussian laser beam in both Kerr and cubic quintic nonlinear media. As a result, many traveling wave solutions are obtained, including soliton-like solutions, hyperbolic function solutions and trigonometric function solutions.