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Solitons and other solutions to the quantum Zakharov-Kuznetsov equation |
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| Authors: | Ghodrat Ebadi Aida Mojaver Daniela Milovic Stephen Johnson Anjan Biswas |
| Affiliation: | 1. Department of Mathematical Sciences, University of Tabriz, Tabriz, 51666-14766, Iran 2. Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 18000, Nis, Serbia 3. Department of Mathematical Sciences, Delaware State University, Dover, DE, 19901-2277, USA 4. Lake Forest High School, 5407 Killens Pond Road, Felton, DE, 19943, USA |
| Abstract: | In this paper, we present G′/G-expansion method, exp-function method, modified F-expansion method as well as the traveling wave hypothesis for finding the exact traveling wave solutions of the quantum Zakharov-Kuznetsov equation which arises in quantum magneto-plasmas. By these methods, rich families of exact solutions have been obtained, including soliton solutions. This work continues to reinforce the idea that the proposed methods, with the help of symbolic computation, provide a powerful mathematical tool for solving nonlinear partial differential equations. |
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