Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis Academic Article uri icon


  • © 2016, National Institute of Optoelectronics. All rights reserved. This paper studies similarity solutions of Kundu-Eckhaus (KE) equation that models wave propagation in a dispersive medium such as in optical waveguide. Lie classical method is applied to obtain symmetries of KE equation and then using these symmetries reduction to ordinary differential equations (ODEs) is obtained. The corresponding exact solutions of KE equation are also presented.

author list (cited authors)

  • Kumar, S., Zhou, Q., Biswas, A., & Belic, M.

publication date

  • January 2016