• On the exact solutions of nonlinear evolution equations by the improved tan($\varphi/2$)-expansion method

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      https://www.ias.ac.in/article/fulltext/pram/094/0037

    • Keywords

       

      Improved tan(ϕ/2)-expansion method; generalised Hirota–Satsuma coupled KdV equation; (2 +1)- dimensional Nizhnik–Novikov–Veselov system

    • Abstract

       

      In this paper, the improved tan($\varphi/2$)-expansion method (ITEM) is proposed to obtain more general exact solutions of the nonlinear evolution equations (NLEEs). This method is applied to the generalised Hirota–Satsuma coupled KdV (HScKdV) equation and (2+1)-dimensional Nizhnik–Novikov–Veselov (NNV) system. We have obtained four types of solutions of these equations such as hyperbolic, trigonometric, exponential and rational functions as an advantage of this method. These solutions include solitons, rational, periodic and kink solutions. Moreover, modulation instability is used to establish stability of the obtained solutions.

    • Author Affiliations

       

      YESIM SAGLAM ÖZKAN1 EMRULLAH YASAR1

      1. Department of Mathematics, Faculty of Arts and Science, Bursa Uludag University, 16059 Bursa, Turkey
    • Dates

       
  • Pramana – Journal of Physics | News

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