Fractal Fract, Vol. 7, Pages 138: Dynamics of Nonlinear Optics with Different Analytical Approaches

Fractal Fract, Vol. 7, Pages 138: Dynamics of Nonlinear Optics with Different Analytical Approaches

Fractal and Fractional doi: 10.3390/fractalfract7020138

Authors: Naeem Ullah Muhammad Imran Asjad Musawa Yahya Almusawa Sayed M. Eldin

In this article, we investigate novel optical solitons solutions for the Lakshmanan–Porsezian–Daniel (LPD) equation, along with group velocity dispersion and spatio-temporal dispersion, via three altered analytical techniques. A variety of bright, singular, dark, periodic singular, and kink solitons solutions are constructed via the Kudryashov method, the generalized tanh method and the Sardar-subequation method. The dynamical behavior of the extracted solutions is demonstrated in graphical form such as 3D plots, 2D plots, and contour plots. The originality of the obtained solutions is recognized by comparison with each other and solutions previously stated in the literature for the LPD model, which displays the efficiency of the methods under consideration.