| New Exact Solutions of Fractional Zakharov–Kuznetsov and Modified Zakharov–Kuznetsov Equations Using Fractional Sub-Equation Method |
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| 基金项目： | Supported by BRNS of Bhaba Atomic Research Centre, Mumbai under Department of Atomic Energy, Government of India vide under Grant No. 2012/37P/54/BRNS/2382 |
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| 摘 要： | In the present paper, we construct the analytical exact solutions of some nonlinear evolution equations in mathematical physics; namely the space-time fractional Zakharov–Kuznetsov(ZK) and modified Zakharov–Kuznetsov(m ZK) equations by using fractional sub-equation method. As a result, new types of exact analytical solutions are obtained. The obtained results are shown graphically. Here the fractional derivative is described in the Jumarie's modified Riemann–Liouville sense.
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| 收稿时间： | 2014-08-04 |
New Exact Solutions of Fractional Zakharov-Kuznetsov and Modified Zakharov-Kuznetsov Equations Using Fractional Sub-Equation Method |
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| S. Saha Ray,S. Sahoo. New Exact Solutions of Fractional Zakharov-Kuznetsov and Modified Zakharov-Kuznetsov Equations Using Fractional Sub-Equation Method[J]. Communications in Theoretical Physics, 2015, 63(1): 25-30 |
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| Authors: | S. Saha Ray S. Sahoo |
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| Affiliation: | Department of Mathematics, National Institute of Technology, Rourkela, Orissa-769008, India |
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| Abstract: | In the present paper, we construct the analytical exact solutions of some nonlinear evolution equations in mathematical physics;namely the space-time fractional Zakharov-Kuznetsov (ZK) and modified Zakharov-Kuznetsov (mZK) equations by using fractional sub-equation method. As a result, new types of exact analytical solutions are obtained. The obtained results are shown graphically. Here the fractional derivative is described in the Jumarie's modified Riemann-Liouville sense. |
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| Keywords: | fractional sub-equation method space-time fractional Zakharov-Kuznetsov(ZK)equation space-time fractional modified Zakharov-Kuznetsov(mZK)equation modified Riemann-Liouville derivative Mittag-leffler function |
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