Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique
This research uses a novel analytical method known as the modified Extended Direct Algebraic Method (mEDAM) to explore families of soliton solutions for the complex structured Coupled Fractional Biswas–Arshed Model (CFBAM) in Birefringent Fibers. The Direct Algebraic Method (DAM) is extended by the...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/7/491 |
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| author | Humaira Yasmin Noufe H. Aljahdaly Abdulkafi Mohammed Saeed Rasool Shah |
| author_facet | Humaira Yasmin Noufe H. Aljahdaly Abdulkafi Mohammed Saeed Rasool Shah |
| author_sort | Humaira Yasmin |
| collection | DOAJ |
| description | This research uses a novel analytical method known as the modified Extended Direct Algebraic Method (mEDAM) to explore families of soliton solutions for the complex structured Coupled Fractional Biswas–Arshed Model (CFBAM) in Birefringent Fibers. The Direct Algebraic Method (DAM) is extended by the mEDAM’s methodology to compute more analytical solutions that would otherwise be difficult to acquire. We use this method to derive several families of soliton solutions and examine their characteristics. We also look at how different model parameters, such as amplitude, width, and propagation speed, affect the dynamics of soliton. Our use of 2D and 3D graphics to illustrate the soliton solutions also makes it possible to see the soliton dynamics more clearly. The outcomes also demonstrate that the method suggested has proven successful in producing soliton solutions for intricate structures such as the CFBAM. |
| first_indexed | 2024-03-11T01:03:50Z |
| format | Article |
| id | doaj.art-8e709184c9b540dd83d7982c51efc361 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T01:03:50Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-8e709184c9b540dd83d7982c51efc3612023-11-18T19:25:26ZengMDPI AGFractal and Fractional2504-31102023-06-017749110.3390/fractalfract7070491Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical TechniqueHumaira Yasmin0Noufe H. Aljahdaly1Abdulkafi Mohammed Saeed2Rasool Shah3Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences and Arts, King Abdulaziz University, Rabigh 21911, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi ArabiaDepartment of Mathematics, Abdul Wali Khan University, Mardan 23200, PakistanThis research uses a novel analytical method known as the modified Extended Direct Algebraic Method (mEDAM) to explore families of soliton solutions for the complex structured Coupled Fractional Biswas–Arshed Model (CFBAM) in Birefringent Fibers. The Direct Algebraic Method (DAM) is extended by the mEDAM’s methodology to compute more analytical solutions that would otherwise be difficult to acquire. We use this method to derive several families of soliton solutions and examine their characteristics. We also look at how different model parameters, such as amplitude, width, and propagation speed, affect the dynamics of soliton. Our use of 2D and 3D graphics to illustrate the soliton solutions also makes it possible to see the soliton dynamics more clearly. The outcomes also demonstrate that the method suggested has proven successful in producing soliton solutions for intricate structures such as the CFBAM.https://www.mdpi.com/2504-3110/7/7/491Fractional Coupled Biswas–Arshed ModelExtended Direct Algebraic Methodbirefringent fibersvariable transformationsolitons solutions |
| spellingShingle | Humaira Yasmin Noufe H. Aljahdaly Abdulkafi Mohammed Saeed Rasool Shah Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique Fractal and Fractional Fractional Coupled Biswas–Arshed Model Extended Direct Algebraic Method birefringent fibers variable transformation solitons solutions |
| title | Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique |
| title_full | Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique |
| title_fullStr | Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique |
| title_full_unstemmed | Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique |
| title_short | Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique |
| title_sort | investigating families of soliton solutions for the complex structured coupled fractional biswas arshed model in birefringent fibers using a novel analytical technique |
| topic | Fractional Coupled Biswas–Arshed Model Extended Direct Algebraic Method birefringent fibers variable transformation solitons solutions |
| url | https://www.mdpi.com/2504-3110/7/7/491 |
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