Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation
In this paper, the Lakshmanan-Porsezian-Daniel (LPD) equation is studied. New analytical rational solitons to the LPD equation are presented by an ansatz method. Wave solutions of three types, such as parabolic, trigonometric and hyperbolic function solutions have been retrieved. All solutions are...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2023-07-01
|
| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/3110842 |
| _version_ | 1797354887145586688 |
|---|---|
| author | İlker Burak Giresunlu Bengi Yıldız |
| author_facet | İlker Burak Giresunlu Bengi Yıldız |
| author_sort | İlker Burak Giresunlu |
| collection | DOAJ |
| description | In this paper, the Lakshmanan-Porsezian-Daniel (LPD) equation is studied. New analytical rational solitons to the LPD equation are presented by an ansatz method. Wave solutions of three types, such as parabolic, trigonometric and hyperbolic function solutions have been retrieved. All solutions are plotted in 3D to enhance the understanding of their physical characteristics. These simulations, which represent the behavior of the resulting hyperbolic, parabolic and trigonometric solitons, are provided by choosing different appropriate values of the parameters. |
| first_indexed | 2024-03-08T13:56:17Z |
| format | Article |
| id | doaj.art-98053aec8e384d5eaa5c97406848ad90 |
| institution | Directory Open Access Journal |
| issn | 2619-9653 |
| language | English |
| last_indexed | 2024-03-08T13:56:17Z |
| publishDate | 2023-07-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj.art-98053aec8e384d5eaa5c97406848ad902024-01-15T15:13:25ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532023-07-0162536410.32323/ujma.12895301225Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equationİlker Burak Giresunlu0Bengi Yıldız1Bilecik Şeyh Edebali Üniversitesi, Fen Fakültesi, Matematik BölümüBilecik Şeyh Edebali Üniversitesi, Fen Fakültesi, Matematik BölümüIn this paper, the Lakshmanan-Porsezian-Daniel (LPD) equation is studied. New analytical rational solitons to the LPD equation are presented by an ansatz method. Wave solutions of three types, such as parabolic, trigonometric and hyperbolic function solutions have been retrieved. All solutions are plotted in 3D to enhance the understanding of their physical characteristics. These simulations, which represent the behavior of the resulting hyperbolic, parabolic and trigonometric solitons, are provided by choosing different appropriate values of the parameters.https://dergipark.org.tr/tr/download/article-file/3110842hyperbolic solitonlakshmanan-porsezian-daniel equationparabolic solitontrigonometric soliton |
| spellingShingle | İlker Burak Giresunlu Bengi Yıldız Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation Universal Journal of Mathematics and Applications hyperbolic soliton lakshmanan-porsezian-daniel equation parabolic soliton trigonometric soliton |
| title | Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation |
| title_full | Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation |
| title_fullStr | Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation |
| title_full_unstemmed | Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation |
| title_short | Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation |
| title_sort | analytical rational solitons of the modified lakshmanan porsezian daniel equation |
| topic | hyperbolic soliton lakshmanan-porsezian-daniel equation parabolic soliton trigonometric soliton |
| url | https://dergipark.org.tr/tr/download/article-file/3110842 |
| work_keys_str_mv | AT ilkerburakgiresunlu analyticalrationalsolitonsofthemodifiedlakshmananporseziandanielequation AT bengiyıldız analyticalrationalsolitonsofthemodifiedlakshmananporseziandanielequation |