Investigation of interactional phenomena and multi wave solutions of the quantum hydrodynamic Zakharov–Kuznetsov model

The symbolic computation with the ansatz function and the logarithmic transformation method are used to obtain a formula for certain exact solutions of the (3+1)\left(3+1) Zakharov–Kuznetsov (Z–K) equation. We use homoclinic breather, three waves method, and double exponential. There is a conflict o...

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Bibliographic Details
Main Authors: El-Rashidy Khaled, Seadawy Aly R., Althobaiti Saad, Makhlouf M. M.
Format: article
Language:EN
Published: De Gruyter 2021
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Online Access:https://doaj.org/article/45672e032bbe4a4cbb7f1392b198843e
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Summary:The symbolic computation with the ansatz function and the logarithmic transformation method are used to obtain a formula for certain exact solutions of the (3+1)\left(3+1) Zakharov–Kuznetsov (Z–K) equation. We use homoclinic breather, three waves method, and double exponential. There is a conflict of results with considerably known results, which indicates the solutions found in this study are new. By selecting appropriate parameter values, 3d representations are plotted to establish W-shaped, multi-peak, and kinky breathers solutions.