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Nonclassical analysis for the Zakharov-Kuznetsov equation

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Abstract

To provide information on the integrability of the Zakharov-Kuznetsov (ZK) equation, we obtain, by a generalization of the direct method introduced by Clarkson and Kruskal, some new similarity reductions ofPDEs and ODEs of the ZK equation which governs nonlinear ion-acoustic waves in a magnetized plasma. A symmetry group explanation is given by the nonclassical method of Bluman and Cole.

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Authors and Affiliations

  1. Institute of Modern Physics, Northwest University, 710069, Xi'an, China

    Qu Changzheng

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  1. Qu Changzheng
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Changzheng, Q. Nonclassical analysis for the Zakharov-Kuznetsov equation. Int J Theor Phys 34, 99–108 (1995). https://doi.org/10.1007/BF00670990

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  • DOI: https://doi.org/10.1007/BF00670990

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