Solitary Wave Solutions for (1+2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(1+2)$$\end{document}-Dimensional Nonlinear Schrödinger Equation with Dual Power Law Nonlinearity

Here, tanϕ(ξ)2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tan \left( \frac{\phi (\xi )}{2}\right) $$\end{document}-expansion method is being applied on (1+2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(1+2)$$\end{document}-dimensional nonlinear Schrödinger equation (NLSE) with dual power law nonlinearity. Spatial solitons and optial nonlinearities in materials like photovoltaic–photorefractive, polymer and organic can be identified by seeking help from NLSE with dual power law nonlinearity. Abundant exact traveling wave solutions consisting free parameters are established in terms of exponential functions. Various arbitrary constants obtained in the solutions help us to discuss the graphical behavior of solutions and also grants flexibility to form a link with large variety of physical phenomena. Moreover, graphical representation of solutions are shown vigorously in order to visualize the behavior of the solutions acquired for the equation.