• Multiple types of exact solutions and conservation laws of new coupled (2 + 1)-dimensional Zakharov–Kuznetsov system with time-dependent coefficients

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      https://www.ias.ac.in/article/fulltext/pram/093/04/0059

    • Keywords

       

      Lie’s infinitesimals criterion; exact solutions; new coupled (2+1)-dimensional Zakharov–Kuznetsov system; conservation laws

    • Abstract

       

      This paper investigates the new coupled (2 + 1)-dimensional Zakharov–Kuznetsov (ZK) system with time-dependent coefficients for multiple types of exact solutions by using the Lie symmetry transformation method.Similarity transformation reduces the system of equations into ordinary differential equations and further, these are solved for solutions having bright, dark and singular solitons as well as periodic waves. Also, the solutions appeared in terms of time-dependent coefficient $\beta(t)$ and analysed graphically to show the effect of this arbitrary function. It is proved that the given system is nonlinear self-adjoint, and some conservation laws are obtained by applying the new conservation theorem.

    • Author Affiliations

       

      BIKRAMJEET KAUR1 R K GUPTA2 3

      1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 004, India
      2. Department of Mathematics and Statistics, Central University of Punjab, Mansa Road, Bathinda 151 001, India
      3. Department of Mathematics, School of Physical and Mathematical Sciences, Central University of Haryana, Mahendergarh123 031, India
    • Dates

       
  • Pramana – Journal of Physics | News

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