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

Year 2019, Volume: 11, 56 - 59, 30.12.2019

Abstract

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.

References

  • 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.
Year 2019, Volume: 11, 56 - 59, 30.12.2019

Abstract

References

  • 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.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Seyma Tuluce Demiray This is me 0000-0002-8027-7290

Sevgi Kastal 0000-0001-9152-3023

Publication Date December 30, 2019
Published in Issue Year 2019 Volume: 11

Cite

APA Tuluce Demiray, S., & Kastal, S. (2019). New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation. Turkish Journal of Mathematics and Computer Science, 11, 56-59.
AMA Tuluce Demiray S, Kastal S. New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation. TJMCS. December 2019;11:56-59.
Chicago Tuluce Demiray, Seyma, and Sevgi Kastal. “New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation”. Turkish Journal of Mathematics and Computer Science 11, December (December 2019): 56-59.
EndNote Tuluce Demiray S, Kastal S (December 1, 2019) New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation. Turkish Journal of Mathematics and Computer Science 11 56–59.
IEEE S. Tuluce Demiray and S. Kastal, “New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation”, TJMCS, vol. 11, pp. 56–59, 2019.
ISNAD Tuluce Demiray, Seyma - Kastal, Sevgi. “New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation”. Turkish Journal of Mathematics and Computer Science 11 (December 2019), 56-59.
JAMA Tuluce Demiray S, Kastal S. New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation. TJMCS. 2019;11:56–59.
MLA Tuluce Demiray, Seyma and Sevgi Kastal. “New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation”. Turkish Journal of Mathematics and Computer Science, vol. 11, 2019, pp. 56-59.
Vancouver Tuluce Demiray S, Kastal S. New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation. TJMCS. 2019;11:56-9.