Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation
In this paper, we study the different types of new soliton solutions to the Landau–Lifshitz equation with the aid of the auxiliary equation method. Then, we get some special soliton solutions for this equation. Without the Gilbert damping term, we present a travelling wave solution with a finite ene...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5538516 |
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| _version_ | 1832547642151796736 |
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| author | Ahmad Neirameh |
| author_facet | Ahmad Neirameh |
| author_sort | Ahmad Neirameh |
| collection | DOAJ |
| description | In this paper, we study the different types of new soliton solutions to the Landau–Lifshitz equation with the aid of the auxiliary equation method. Then, we get some special soliton solutions for this equation. Without the Gilbert damping term, we present a travelling wave solution with a finite energy in the initial time. The parameters of the soliton envelope are obtained as a function of the dependent model coefficients. |
| format | Article |
| id | doaj-art-6cc50768dcf640f8b99253b327e40039 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-6cc50768dcf640f8b99253b327e400392025-02-03T06:43:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55385165538516Solitary Wave Solutions to the Multidimensional Landau–Lifshitz EquationAhmad Neirameh0Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, IranIn this paper, we study the different types of new soliton solutions to the Landau–Lifshitz equation with the aid of the auxiliary equation method. Then, we get some special soliton solutions for this equation. Without the Gilbert damping term, we present a travelling wave solution with a finite energy in the initial time. The parameters of the soliton envelope are obtained as a function of the dependent model coefficients.http://dx.doi.org/10.1155/2021/5538516 |
| spellingShingle | Ahmad Neirameh Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation Advances in Mathematical Physics |
| title | Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation |
| title_full | Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation |
| title_fullStr | Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation |
| title_full_unstemmed | Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation |
| title_short | Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation |
| title_sort | solitary wave solutions to the multidimensional landau lifshitz equation |
| url | http://dx.doi.org/10.1155/2021/5538516 |
| work_keys_str_mv | AT ahmadneirameh solitarywavesolutionstothemultidimensionallandaulifshitzequation |