New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation

In this work, Generalized Kudryashov method (GKM) has been used to obtain exact solutions of (3+1)-dimensional modified quantum Zakharov-Kuznetsov (MQZK) equation. Dark optical soliton solutions of this equation have been found by using this method. Also, the graphical demonstrations clearly display strongness of this method.

___

  • Foroutan, M., Manafian, J., Ranjbaran,A., {\em Solitons in optical metamaterials with anti-cubic law of nonlinearity by generalized G'/G-expansion method}, Optik, \textbf{162}(2018), 86--94.
  • Kudryashov, N.A., {\em Exact solutions of the equation for surface waves in a convecting fluid}, Applied Mathematics and Computation, \textbf{344,345}(2019), 97--106.
  • Nuruddeen, R.I., Ali, K.K., Aboodh, K.S., {\em Analytical Investigation Of Soliton Solutions To Three Quantum Zakharov-Kuznetsov Equations}, Communications in Theoretical Physics, \textbf{70}(2018), 405--412.
  • Osman, M.S., {\em Multi-soliton rational solutions for quantum Zakharov-Kuznetsov equation in quantum magnetoplasmas}, Waves in Random and Complex Media, \textbf{26(4)}(2016), 434--443.
  • Tuluce Demiray, S., Bulut, H., {\em New exact solutions for generalized Gardner equation}, Kuwait Journal of Science, \textbf{44(1)}(2017), 1--8.
  • Tuluce Demiray, S., Bulut, H., {\em Soliton solutions of some nonlinear evolution problems by GKM}, Neural Computing and Applications, \textbf{31}(2019), 287--294.
  • Tuluce Demiray, S., Bulut, H., {\em New soliton solutions of Davey-Stewartson equation with power-law nonlinearity}, Optical Quantum and Electronics, \textbf{49(117)}(2017), 1--8.
  • Zuo, D., Zhang, G., {\em Exact solutions of the nonlocal Hirota equations}, Applied Mathematics Letters, \textbf{93}(2019), 66--71.