Kudryashov method for exact solutions of isothermal magnetostatic atmospheres
The Kudryashov method to look for the exact solutions of the nonlinear differential equations is presented. The Kudryashov method is applied to search for the exact solutions of the Liouville equation and the Sinh-Poisson equation. The equations of magnetohydrostatic equilibria for a plasma in a gra...
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2016-02-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_24461_0deef39e37fd196f6824383f14797ee9.pdf |
| _version_ | 1819131936816234496 |
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| author | Nematollah Kadkhoda Hossein Jafari |
| author_facet | Nematollah Kadkhoda Hossein Jafari |
| author_sort | Nematollah Kadkhoda |
| collection | DOAJ |
| description | The Kudryashov method to look for the exact solutions of the nonlinear differential equations is presented. The Kudryashov method is applied to search for the exact solutions of the Liouville equation and the Sinh-Poisson equation. The equations of magnetohydrostatic equilibria for a plasma in a gravitational field are investigated analytically. An investigation of a family of isothermal magnetostatic atmospheres with one ignorable coordinate cor-responding to a uniform gravitational field in a plane geometry is carried out.
The distributed current in the model J is directed along the x-axis where x is the horizontal ignorable coordinate. These equations transform to a single nonlinear elliptic equation for the magnetic vector potential u. This equation depends on an arbitrary function of u that must be specified. |
| first_indexed | 2024-12-22T09:23:26Z |
| format | Article |
| id | doaj.art-b84a36e0aac845029b1e29db4583a7ec |
| institution | Directory Open Access Journal |
| issn | 2423-6977 2423-6969 |
| language | English |
| last_indexed | 2024-12-22T09:23:26Z |
| publishDate | 2016-02-01 |
| publisher | Ferdowsi University of Mashhad |
| record_format | Article |
| series | Iranian Journal of Numerical Analysis and Optimization |
| spelling | doaj.art-b84a36e0aac845029b1e29db4583a7ec2022-12-21T18:31:09ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692016-02-0161435310.22067/ijnao.v6i1.4546424461Kudryashov method for exact solutions of isothermal magnetostatic atmospheresNematollah Kadkhoda0Hossein Jafari1Bozorgmehr University of Qaenat,University of Mazandaran, Babolsar, Iran,The Kudryashov method to look for the exact solutions of the nonlinear differential equations is presented. The Kudryashov method is applied to search for the exact solutions of the Liouville equation and the Sinh-Poisson equation. The equations of magnetohydrostatic equilibria for a plasma in a gravitational field are investigated analytically. An investigation of a family of isothermal magnetostatic atmospheres with one ignorable coordinate cor-responding to a uniform gravitational field in a plane geometry is carried out. The distributed current in the model J is directed along the x-axis where x is the horizontal ignorable coordinate. These equations transform to a single nonlinear elliptic equation for the magnetic vector potential u. This equation depends on an arbitrary function of u that must be specified.https://ijnao.um.ac.ir/article_24461_0deef39e37fd196f6824383f14797ee9.pdfmagnetostatic equilibrianonlinear evolution equationstraveling waves |
| spellingShingle | Nematollah Kadkhoda Hossein Jafari Kudryashov method for exact solutions of isothermal magnetostatic atmospheres Iranian Journal of Numerical Analysis and Optimization magnetostatic equilibria nonlinear evolution equations traveling waves |
| title | Kudryashov method for exact solutions of isothermal magnetostatic atmospheres |
| title_full | Kudryashov method for exact solutions of isothermal magnetostatic atmospheres |
| title_fullStr | Kudryashov method for exact solutions of isothermal magnetostatic atmospheres |
| title_full_unstemmed | Kudryashov method for exact solutions of isothermal magnetostatic atmospheres |
| title_short | Kudryashov method for exact solutions of isothermal magnetostatic atmospheres |
| title_sort | kudryashov method for exact solutions of isothermal magnetostatic atmospheres |
| topic | magnetostatic equilibria nonlinear evolution equations traveling waves |
| url | https://ijnao.um.ac.ir/article_24461_0deef39e37fd196f6824383f14797ee9.pdf |
| work_keys_str_mv | AT nematollahkadkhoda kudryashovmethodforexactsolutionsofisothermalmagnetostaticatmospheres AT hosseinjafari kudryashovmethodforexactsolutionsofisothermalmagnetostaticatmospheres |