Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 67, Issue 1, Pages 172-180Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2013.11.001
Keywords
Traveling wave solutions; Direct algebraic method; Zakharov-Kuznetsov equation; Ion-acoustic waves
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Funding
- Taibah University, KSA [4079]
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The Zakharov-Kuznetsov (ZK) equation is an isotropic nonlinear evolution equation, first derived for weakly nonlinear ion-acoustic waves in a strongly magnetized lossless plasma in two dimensions. In the present study, by applying the extended direct algebraic method, we found the electric field potential, electric field and magnetic field in the form of traveling wave solutions for the two-dimensional ZK equation. The solutions for the ZK equation are obtained precisely and the efficiency of the method can be demonstrated. The stability of these solutions and the movement role of the waves are analyzed by making graphs of the exact solutions. (C) 2013 Elsevier Ltd. All rights reserved.
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