Conference Paper
BibTex RIS Cite

Dark-Bright Optical Soliton Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation

Year 2019, Volume: 11, 90 - 94, 30.12.2019

Abstract

In this paper, the modified $exp\left(-\vartheta(\sigma)\right) $-expansion function method (MEFM) has been used to find exact solutions of   (3+1)-dimensional modified quantum Zakharov-Kuznetsov (MQZK) equation. Dark and dark-bright optical soliton solutions of the (3+1)-dimensional MQZK equation have been obtained by using this method. Also, the graphical simulations explicitly exhibit forcefulness of this method.

References

  • Kumar, D., Hosseini, K., Samadani, F., Rezazadeh, H., {\em The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzeica type equations in nonlinear optics}, Optik, \textbf{149}(2017), 439--446.
  • 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.
  • Ozyapici, A., Bilgehan, B., {\em Generalized system of trial equation methods and their applications to biological systems}, Applied Mathematics and Computation, \textbf{338}(2018), 722--732.
  • Rani, A., Khan, N., Ayub, K., Khan, M. Y., Mahmood Ul Hassan, Q., Ahmed, B., Ashraf, M., {\em Solitary wave solution of nonlinear PDEs arising in mathematical physics}, Open Phys., \textbf{17}(2019), 381--389.
  • Rao, J., Mihalache, D., Cheng, Y., He, J., {\em Lump-soliton solutions to the Fokas system}, Letters A, \textbf{383}(2019), 1138--1142.
  • Rayhanul Islam, S. M., Khan, K., Akbar, M. A., {\em Study of $exp\left(-\phi(\xi)\right)$-expansion method for solving nonlinear partial differential equations}, British Journal of Mathematics and Computer Science, \textbf{5(3)}(2015), 397--407.
  • Tascan, F., Akbulut, A., {\em Exact solutions of nonlinear partial differential equations with $exp\left(-\varphi(\zeta)\right)$-expansion method}, AKU J. Sci. Eng., \textbf{17}(2017), 86--92.
  • Tuluce Demiray, S., Bulut, H., {\em Analytical solutions of Phi-four equations}, An International Journal of Optimization and Control: Theories and Applications, \textbf{7(3)}(2017), 275--280.
  • Yepez-Martinez, H., Rezazadeh, H., Souleymanou, A., Paulin, S., Mukam, T.,Eslami, M., Kamgang Kuetche, V., Bekir, A., {\em The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing}, Chinese Journal of Physics, \textbf{58}(2019), 137--150.
Year 2019, Volume: 11, 90 - 94, 30.12.2019

Abstract

References

  • Kumar, D., Hosseini, K., Samadani, F., Rezazadeh, H., {\em The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzeica type equations in nonlinear optics}, Optik, \textbf{149}(2017), 439--446.
  • 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.
  • Ozyapici, A., Bilgehan, B., {\em Generalized system of trial equation methods and their applications to biological systems}, Applied Mathematics and Computation, \textbf{338}(2018), 722--732.
  • Rani, A., Khan, N., Ayub, K., Khan, M. Y., Mahmood Ul Hassan, Q., Ahmed, B., Ashraf, M., {\em Solitary wave solution of nonlinear PDEs arising in mathematical physics}, Open Phys., \textbf{17}(2019), 381--389.
  • Rao, J., Mihalache, D., Cheng, Y., He, J., {\em Lump-soliton solutions to the Fokas system}, Letters A, \textbf{383}(2019), 1138--1142.
  • Rayhanul Islam, S. M., Khan, K., Akbar, M. A., {\em Study of $exp\left(-\phi(\xi)\right)$-expansion method for solving nonlinear partial differential equations}, British Journal of Mathematics and Computer Science, \textbf{5(3)}(2015), 397--407.
  • Tascan, F., Akbulut, A., {\em Exact solutions of nonlinear partial differential equations with $exp\left(-\varphi(\zeta)\right)$-expansion method}, AKU J. Sci. Eng., \textbf{17}(2017), 86--92.
  • Tuluce Demiray, S., Bulut, H., {\em Analytical solutions of Phi-four equations}, An International Journal of Optimization and Control: Theories and Applications, \textbf{7(3)}(2017), 275--280.
  • Yepez-Martinez, H., Rezazadeh, H., Souleymanou, A., Paulin, S., Mukam, T.,Eslami, M., Kamgang Kuetche, V., Bekir, A., {\em The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing}, Chinese Journal of Physics, \textbf{58}(2019), 137--150.
There are 10 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). Dark-Bright Optical Soliton Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation. Turkish Journal of Mathematics and Computer Science, 11, 90-94.
AMA Tuluce Demiray S, Kastal S. Dark-Bright Optical Soliton Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation. TJMCS. December 2019;11:90-94.
Chicago Tuluce Demiray, Seyma, and Sevgi Kastal. “Dark-Bright Optical Soliton Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation”. Turkish Journal of Mathematics and Computer Science 11, December (December 2019): 90-94.
EndNote Tuluce Demiray S, Kastal S (December 1, 2019) Dark-Bright Optical Soliton Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation. Turkish Journal of Mathematics and Computer Science 11 90–94.
IEEE S. Tuluce Demiray and S. Kastal, “Dark-Bright Optical Soliton Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation”, TJMCS, vol. 11, pp. 90–94, 2019.
ISNAD Tuluce Demiray, Seyma - Kastal, Sevgi. “Dark-Bright Optical Soliton Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation”. Turkish Journal of Mathematics and Computer Science 11 (December 2019), 90-94.
JAMA Tuluce Demiray S, Kastal S. Dark-Bright Optical Soliton Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation. TJMCS. 2019;11:90–94.
MLA Tuluce Demiray, Seyma and Sevgi Kastal. “Dark-Bright Optical Soliton Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation”. Turkish Journal of Mathematics and Computer Science, vol. 11, 2019, pp. 90-94.
Vancouver Tuluce Demiray S, Kastal S. Dark-Bright Optical Soliton Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation. TJMCS. 2019;11:90-4.