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New exact solitary wave and multiple soliton solutions of quantum Zakharov-Kuznetsov equation
Authors:Ben-gong Zhang  Zheng-rong Liu
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
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.
Keywords:Quantum Zakharov-Kuznetsov equation  Auxiliary equation method  Hirota bilinear method  Solitary wave solutions  Multiple-soliton solutions
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