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

İlhan O. A. , Manafian J.

Revista Mexicana De Fisica, cilt.6, ss.1-19, 2019

  • Cilt numarası: 6 Konu: 2
  • Basım Tarihi: 2019
  • Dergi Adı: Revista Mexicana De Fisica
  • Sayfa Sayısı: ss.1-19


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. Materials

like photovoltaic-photorefractive, polymer and organic consists of spatial solitons and optical nonlinearities, which can be

identified by seeking help from NLSE with anti-cubic nonlinearity. Abundant exact traveling wave solutions consisting of free

parameters are established in terms of bright, dark, singular, kink-singular, and combined dark-bright soliton solutions. Various

arbitrary constants obtained in the solutions help us to discuss the graphical behavior of solutions and also grants flexibility

to formulate solutions that can be linked with a 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.