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      https://www.ias.ac.in/article/fulltext/pram/082/06/1011-1029

    • Keywords

       

      Nonlinear Schrödinger’s equation with Kerr law nonlinearity; travelling wave solutions; extended ($G'/G$)-expansion method.

    • Abstract

       

      In this paper, we construct the travelling wave solutions to the perturbed nonlinear Schrödinger’s equation (NLSE) with Kerr law non-linearity by the extended ($G'/G$)-expansion method. Based on this method, we obtain abundant exact travelling wave solutions of NLSE with Kerr law nonlinearity with arbitrary parameters. The travelling wave solutions are expressed by the hyperbolic functions, trigonometric functions and rational functions.

    • Author Affiliations

       

      Zaiyun Zhang1 2 Jianhua Huang2 Juan Zhong1 Sha-Sha Dou1 Jiao Liu1 Dan Peng1 Ting Gao1

      1. School of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, Hunan, People’s Republic of China
      2. College of Science, National University of Defense Technology, Changsha 410083, Hunan, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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