Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications
In this research article, a new technique for solving nonlinear complex physical phenomena, arising in different fields of science, is investigated, called Modified extended mapping method. The method is applied to three dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation for the dust-ionacoustic...
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| Format: | Article |
| Language: | English |
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Elsevier
2017-01-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379717317175 |
| _version_ | 1819208943756378112 |
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| author | Abdullah Aly R. Seadawy Wang Jun |
| author_facet | Abdullah Aly R. Seadawy Wang Jun |
| author_sort | Abdullah |
| collection | DOAJ |
| description | In this research article, a new technique for solving nonlinear complex physical phenomena, arising in different fields of science, is investigated, called Modified extended mapping method. The method is applied to three dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation for the dust-ionacoustic waves in dusty plasmas. As a result, the exact and solitary wave solutions (which represent electric field potential), electric and magnetic fields and quantum statistical pressure for ZKB equation are obtained with the aid of Mathematica. These new exact solitary wave solutions are expressed in the forms of hyperbolic, trigonometric and rational functions. The graphical representations of the electric field potential and electric and magnetic fields are shown. These results demonstrate the efficiency and precision of the method that can be applied to many other mathematical physical problems. Keywords: Modified extended mapping method, 3-D Zakharov-Kuznetsov-Burgers equation, Exact and solitary wave solutions, Electric field potential, Electric and magnetic fields, Quantum statistical pressure, Graphical representation |
| first_indexed | 2024-12-23T05:47:25Z |
| format | Article |
| id | doaj.art-a649b3b7d2844ac3943da4574e25c0af |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-23T05:47:25Z |
| publishDate | 2017-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-a649b3b7d2844ac3943da4574e25c0af2022-12-21T17:58:04ZengElsevierResults in Physics2211-37972017-01-01742694277Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications Abdullah0Aly R. Seadawy1Wang Jun2Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, PR ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, PR China; Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Mathematics Department, Faculty of Science, Beni-Suef University, Egypt; Corresponding author at: Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia.Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, PR ChinaIn this research article, a new technique for solving nonlinear complex physical phenomena, arising in different fields of science, is investigated, called Modified extended mapping method. The method is applied to three dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation for the dust-ionacoustic waves in dusty plasmas. As a result, the exact and solitary wave solutions (which represent electric field potential), electric and magnetic fields and quantum statistical pressure for ZKB equation are obtained with the aid of Mathematica. These new exact solitary wave solutions are expressed in the forms of hyperbolic, trigonometric and rational functions. The graphical representations of the electric field potential and electric and magnetic fields are shown. These results demonstrate the efficiency and precision of the method that can be applied to many other mathematical physical problems. Keywords: Modified extended mapping method, 3-D Zakharov-Kuznetsov-Burgers equation, Exact and solitary wave solutions, Electric field potential, Electric and magnetic fields, Quantum statistical pressure, Graphical representationhttp://www.sciencedirect.com/science/article/pii/S2211379717317175 |
| spellingShingle | Abdullah Aly R. Seadawy Wang Jun Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications Results in Physics |
| title | Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications |
| title_full | Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications |
| title_fullStr | Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications |
| title_full_unstemmed | Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications |
| title_short | Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications |
| title_sort | mathematical methods and solitary wave solutions of three dimensional zakharov kuznetsov burgers equation in dusty plasma and its applications |
| url | http://www.sciencedirect.com/science/article/pii/S2211379717317175 |
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