Study of dissipative NLSE for dark and bright, multiwave, breather and M-shaped solitons along with some interactions in monochromatic waves

摘要

Abstract In this article, we address dissipative nonlinear Schrödinger equation (d-NLSE) in (1+1)documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$(1+1)$$end{document}-dimensions influenced by spatial dissipations effects via applying logarithmic transformation and symbolic computation with the ansatz function method. The d-NLSE is applied to model the dissipative self-modulating monochromatic waves with dispersion. We analytically create the bright and dark optical soliton for d-NLSE. In addition, singular solutions of type-I, type-II, periodic, multiwave, M-shaped rational and their interactions with one and two kink waves, homoclinic breathers are derived. Furthermore, a few 3D, 2D and contour shapes will be shown to predict the wave dynamics.