Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients |
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| Authors: | Yan-Ze Peng E V Krishnan Hui Feng |
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| Institution: | (1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People’s Republic of China;(2) Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Muscat, Sultanate of Oman |
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| Abstract: | Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients are studied using the solutions
of Raccati equation. The solitary wave-like solution, the trigonometric periodic wave solution and the rational wave solution
are obtained with a constraint between coefficients. The property of the solutions is numerically investigated. It is shown
that the coefficients of the equation do not change the wave amplitude, but may change the wave velocity.
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| Keywords: | Zakharov-Kuznetsov equation travelling wave solution Raccati equation |
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