New exact solitary wave and multiple soliton solutions of quantum Zakharov-Kuznetsov equation |
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Authors: | Ben-gong Zhang Zheng-rong Liu |
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Institution: | a Department of Mathematics, South China University of Technology, Guangzhou 510640, PR China b School of Mathematics, Yunnan Normal University, Kunming, Yunnan 650092, PR China |
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Abstract: | By employing auxiliary equation method and Hirota bilinear method, the quantum Zakharov-Kuznetsov equation which arises in quantum magnetoplasma is investigated. With the aid of symbolic computation, both solitary wave solutions and multiple-soliton solutions are obtained. These new exact solutions will extend previous results and help us explain the properties of multidimensional nonlinear ion-acoustic waves in dense magnetoplasma. |
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Keywords: | Quantum Zakharov-Kuznetsov equation Auxiliary equation method Hirota bilinear method Solitary wave solutions Multiple-soliton solutions |
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