Analytical treatment in optical metamaterials with anti-cubic law of nonlinearity by IEFM and EShGEEM

Abstract

Here, the improved exp(−Ω())-expansion method (IEFM) and extended sinh-Gordon equation expansion method (EShGEEM)are being applied on (1+2)-dimensional nonlinear Schr¨odinger equation, optical metamaterials, with anti-cubic nonlinearity. Materialslike photovoltaic-photorefractive, polymer and organic consists of spatial solitons and optical nonlinearities, which can beidentified by seeking help from NLSE with anti-cubic nonlinearity. Abundant exact traveling wave solutions consisting of freeparameters are established in terms of bright, dark, singular, kink-singular, and combined dark-bright soliton solutions. Variousarbitrary constants obtained in the solutions help us to discuss the graphical behavior of solutions and also grants flexibilityto formulate solutions that can be linked with a large variety of physical phenomena. Moreover, graphical representation ofsolutions are shown vigorously in order to visualize the behavior of the solutions acquired for the equation.