Symmetry reductions of the (3+1) $(3+1)$-dimensional modified Zakharov–Kuznetsov equation
Abstract This paper is concerned with the symmetry reductions of the (3+1) $(3+ 1)$-dimensional modified Zakharov–Kuznetsov equation of ion-acoustic waves in a magnetized plasma. The direct symmetry method is applied to determine the symmetry and the corresponding vector field. Then, the considered...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-02-01
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Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-019-2017-4 |
Summary: | Abstract This paper is concerned with the symmetry reductions of the (3+1) $(3+ 1)$-dimensional modified Zakharov–Kuznetsov equation of ion-acoustic waves in a magnetized plasma. The direct symmetry method is applied to determine the symmetry and the corresponding vector field. Then, the considered equation is reduced to lower-dimensional equations with the aid of the obtained symmetry. At last, some exact solutions of the modified Zakharov–Kuznetsov equation are found in terms of the lower-dimensional equations. |
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ISSN: | 1687-1847 |