Traveling wave solutions for (3+1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity
In this work, we consider the (3+1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity. Solitary wave solutions, soliton wave solutions, elliptic wave solutions, and periodic (hyperbolic) wave rational solutions are obtained by means of the unified method. The...
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| Published in | Nonlinear engineering Vol. 8; no. 1; pp. 559 - 567 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin
De Gruyter
01.01.2019
Walter de Gruyter GmbH |
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| Online Access | Get full text |
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| Abstract | In this work, we consider the (3+1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity. Solitary wave solutions, soliton wave solutions, elliptic wave solutions, and periodic (hyperbolic) wave rational solutions are obtained by means of the unified method. The solutions showed that this method provides us with a powerful mathematical tool for solving nonlinear conformable fractional evolution equations in various fields of applied sciences. |
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| AbstractList | In this work, we consider the (3+1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity. Solitary wave solutions, soliton wave solutions, elliptic wave solutions, and periodic (hyperbolic) wave rational solutions are obtained by means of the unified method. The solutions showed that this method provides us with a powerful mathematical tool for solving nonlinear conformable fractional evolution equations in various fields of applied sciences. |
| Author | Osman, M.S. Rezazadeh, Hadi Eslami, Mostafa |
| Author_xml | – sequence: 1 givenname: M.S. surname: Osman fullname: Osman, M.S. email: mofatzi@sci.cu.edu.eg organization: Department of Mathematics, Duba University College, University of Tabuk, Tabuk Saudi Arabia – sequence: 2 givenname: Hadi surname: Rezazadeh fullname: Rezazadeh, Hadi organization: Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran – sequence: 3 givenname: Mostafa surname: Eslami fullname: Eslami, Mostafa organization: Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran |
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| SubjectTerms | Conformable fractional derivative Mathematical analysis Nonlinear equations Nonlinearity Power law Power law nonlinearity Solitary waves The unified method Traveling wave solutions Traveling waves |
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| Title | Traveling wave solutions for (3+1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity |
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