Exact solutions and conservation laws of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity |
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| Authors: | Khadijo Rashid Adem Chaudry Masood Khalique |
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| Institution: | International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa |
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| Abstract: | This paper obtains solutions to the Zakharov-Kuznetsov modified equal width equation with power law nonlinearity. The Lie symmetry approach and the simplest equation method are used to obtain these solutions. Moreover, conservation laws are derived for the underlying equation by employing two approaches: the new conservation theorem and the multiplier method. |
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| Keywords: | Solitons Lie symmetries Integrability Conservation laws Lie symmetry methods Simplest equation method |
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