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


  • Onur Alp Ilhan Department of Mathematics, Faculty of Education, Erciyes University, 38039-Melikgazi-Kayseri, Turkey
  • Jalil Manafian Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran



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.




How to Cite

Ilhan, Onur Alp, and Jalil Manafian. 2019. “Analytical Treatment in Optical Metamaterials With Anti-Cubic Law of Nonlinearity by IEFM and EShGEEM”. Revista Mexicana De Física 65 (6 Nov-Dec):658-77.