Analytical Investigation of Soliton Solutions to Three Quantum Zakharov-Kuznetsov Equations |
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| Authors: | Rahmatullah Ibrahim Nuruddeen Khalid Suliman Aboodh Khalid K Ali |
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| Institution: | 1. Department of Mathematics, Federal University Dutse, Jigawa State, Nigeria;
2. Department of Mathematics, Faculty of Science & Technology, Omdurman Islamic University, Khartoum, Sudan;
3. Department of Mathematics, Faculty of Science & Arts, University of Bisha, Bisha, Saudi Arabia;
4. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt |
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| Abstract: | In the present paper, the two-dimensional quantum Zakharov-Kuznetsov (QZK) equation, three-dimensional quantum Zakharov-Kuznetsov equation and the three-dimensional modified quantum Zakharov-Kuznetsov equation are analytically investigated for exact solutions using the modified extended tanh-expansion based method. A variety of new and important soliton solutions are obtained including the dark soliton solution, singular soliton solution, combined dark-singular soliton solution and many other trigonometric function solutions. The used method is implemented on the Mathematica software for the computations as well as the graphical illustrations. |
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| Keywords: | two-dimensional QZK equation three-dimensional QZK equations soliton solutions |
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