Analytic solutions of the chiral nonlinear schrödinger equations investigated by an efficient approach

  • Authors

    • K. M. Abdul Al Woadud Uttara University, Dhaka, Bangladesh.
    • Dipankar Kumar Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj-8100, Bangladesh
    • Md. Jahirul Islam Department of Electrical & Electronic Engineering, Uttara University, Dhaka-1230, Bangladesh
    • Md. Imrul Kayes Department of Electrical & Electronic Engineering, Uttara University, Dhaka-1230, Bangladesh
    • Atish Kumar Joardar Department of Mathematics, Islamic University, Kushtia-7003, Bangladesh
    2019-08-25
    https://doi.org/10.14419/ijpr.v7i2.23755
  • Chiral Nonlinear (1 1)-Dimensional Schrödinger Equation, Chiral Nonlinear (1 2)-Dimensional Schrödinger Equation, Modified Kudryashov Method, New Exact Traveling Wave Solutions, Symbolic Computation.

  • Abstract

    This paper studies the chiral nonlinear Schrödinger equations, describing a central role in the developments of quantum me-chanics, particularly in the field of quantum Hall effect, where chiral excitations are known to appear. More precisely, in this paper, we acquired new exact solutions of the chiral nonlinear (1+1) and (1+2)-dimensional Schrödinger equations by using the modified Kudraysov method. As outcomes, some of the new exact traveling wave solutions for the equations above is formally produced. All solutions are plotted in the view of three-dimensional (3D) and two-dimensional (2D) line shape through the MATLAB software for investigating the real significance of the studied equations. The periodic type of solitons is generated by employing modified Kudryashov method which is different from other studied methods.

     

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  • How to Cite

    M. Abdul Al Woadud, K., Kumar, D., Jahirul Islam, M., Imrul Kayes, M., & Kumar Joardar, A. (2019). Analytic solutions of the chiral nonlinear schrödinger equations investigated by an efficient approach. International Journal of Physical Research, 7(2), 94-99. https://doi.org/10.14419/ijpr.v7i2.23755

    Received date: 2018-12-12

    Accepted date: 2019-04-18

    Published date: 2019-08-25