New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method
In the present study, the optimality approach is applied to find the exact solution of the Landau-Ginzburg-Higgs Equation (LGHE) using new transformations. This method is a direct algebraic method for obtaining exact solutions of nonlinear differential equations. We find suitable solutions of the LG...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/4351698 |
| _version_ | 1797945508947296256 |
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| author | Khalil Ahmad Khudija Bibi Muhammad Shoaib Arif Kamaleldin Abodayeh |
| author_facet | Khalil Ahmad Khudija Bibi Muhammad Shoaib Arif Kamaleldin Abodayeh |
| author_sort | Khalil Ahmad |
| collection | DOAJ |
| description | In the present study, the optimality approach is applied to find the exact solution of the Landau-Ginzburg-Higgs Equation (LGHE) using new transformations. This method is a direct algebraic method for obtaining exact solutions of nonlinear differential equations. We find suitable solutions of the LGHE in terms of elliptic Jacobi functions by applying transformations of basic functions. Exact solutions of the equations are obtained with the help of symbolic software (Maple) which allows the computation of equations with parameter constants. It is exposed that PIM is influential, suitable, and shortest and offers an exact solution of LGHE. |
| first_indexed | 2024-04-10T20:56:14Z |
| format | Article |
| id | doaj.art-04a5b899d7564b8f909768e6e7434763 |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-04-10T20:56:14Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-04a5b899d7564b8f909768e6e74347632023-01-23T00:56:22ZengHindawi LimitedJournal of Function Spaces2314-88882023-01-01202310.1155/2023/4351698New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index MethodKhalil Ahmad0Khudija Bibi1Muhammad Shoaib Arif2Kamaleldin Abodayeh3Department of MathematicsDepartment of MathematicsDepartment of Mathematics and SciencesDepartment of Mathematics and SciencesIn the present study, the optimality approach is applied to find the exact solution of the Landau-Ginzburg-Higgs Equation (LGHE) using new transformations. This method is a direct algebraic method for obtaining exact solutions of nonlinear differential equations. We find suitable solutions of the LGHE in terms of elliptic Jacobi functions by applying transformations of basic functions. Exact solutions of the equations are obtained with the help of symbolic software (Maple) which allows the computation of equations with parameter constants. It is exposed that PIM is influential, suitable, and shortest and offers an exact solution of LGHE.http://dx.doi.org/10.1155/2023/4351698 |
| spellingShingle | Khalil Ahmad Khudija Bibi Muhammad Shoaib Arif Kamaleldin Abodayeh New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method Journal of Function Spaces |
| title | New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method |
| title_full | New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method |
| title_fullStr | New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method |
| title_full_unstemmed | New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method |
| title_short | New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method |
| title_sort | new exact solutions of landau ginzburg higgs equation using power index method |
| url | http://dx.doi.org/10.1155/2023/4351698 |
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