Construction of periodic wave soliton solutions for the nonlinear Zakharov–Kuznetsov modified equal width dynamical equation


Alshehery S. Iqbal M. Seadawy A.R. Umurzakhova Z. Myrzakulov R. Az-Zo’bi E.A.
August 2024Springer

Optical and Quantum Electronics
2024#56Issue 8

Under the consideration of computational software Mathematica on the basis of extended simple equation method, constructed the periodic wave soliton solutions for nonlinear Zakharov–Kuznetsov modified equal width equation. In this study, constructed soliton solutions included periodic singular solitons, bright solitons, kink solitons, anti-kink solitons, travelling waves, dark solitons and solitary waves are more interesting, prices and some are novel. The graphical demonstration of some investigated results shown by contour, 2-dim and 3-dim by computing software Mathematica under numerical simulation to visualizing the physical phenomena of obtained results. The demonstrated results will be helpful in the study of nonlinear phenomena in various kinds of domains including nonlinear optics, nonlinear dynamics, solitons wave theory, optical fiber, nonlinear acoustic wave, communications system, networking system and transmission of signals. The extended simple equation technique is a concise, straightforward, powerful and reliable approach for the investigation of different kinds of nonlinear partial evolution equations.

Exact Solitons , Extended simple equation method , Nonlinear ZK-MEW dynamical equation , Solitary waves , Travelling waves

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College of Engineering, Mechanical Engineering Department, King Khalid University, Abha, Saudi Arabia
School of Mathematical Sciences, Jiangsu University, Jiangsu, Zhenjiang, 212013, China
Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
Department of Mathematics and Statistics, Mutah University, Al Karak, 61710, Jordan

College of Engineering
School of Mathematical Sciences
Mathematics Department
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Department of Mathematics and Statistics

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