Fractional derivative-based performance analysis to Caudrey–Dodd–Gibbon–Sawada–Kotera equation
This paper explores the innovative soliton solutions to the fractional Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGSK) equation with Beta and Atangana–Baleanu (AB) fractional derivatives. The new auxiliary equation method (NAEM) is used to extricate novel analytical solutions to the CDGSK equation. A comp...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-05-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722001310 |
| _version_ | 1811280305559961600 |
|---|---|
| author | Adil Jhangeer Hassan Almusawa Riaz Ur Rahman |
| author_facet | Adil Jhangeer Hassan Almusawa Riaz Ur Rahman |
| author_sort | Adil Jhangeer |
| collection | DOAJ |
| description | This paper explores the innovative soliton solutions to the fractional Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGSK) equation with Beta and Atangana–Baleanu (AB) fractional derivatives. The new auxiliary equation method (NAEM) is used to extricate novel analytical solutions to the CDGSK equation. A comparative analysis of the solutions is conducted by implementing these fractional derivatives. The impact of different values of fractional parameter on the behavior of obtained solutions is also explored. The shapes and dynamics of the retrieved solutions are portrayed employing 3Dand 2Dgraphs. These new solitary wave solutions are shown to encompass dark, bright, periodic, and singular wave solutions. Analytical solutions expound that this method is an effective mathematical tool to find exact traveling wave solutions to nonlinear models found in several fields of science and engineering. |
| first_indexed | 2024-04-13T01:11:15Z |
| format | Article |
| id | doaj.art-914db36c5fdd454d8cde45974cab16da |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-13T01:11:15Z |
| publishDate | 2022-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-914db36c5fdd454d8cde45974cab16da2022-12-22T03:09:09ZengElsevierResults in Physics2211-37972022-05-0136105356Fractional derivative-based performance analysis to Caudrey–Dodd–Gibbon–Sawada–Kotera equationAdil Jhangeer0Hassan Almusawa1Riaz Ur Rahman2Department of Mathematics, Namal University, Mianwali 42250, PakistanDepartment of Mathematics, College of Sciences, Jazan University, Jazan 45142, Saudi Arabia; Corresponding author.Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, PakistanThis paper explores the innovative soliton solutions to the fractional Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGSK) equation with Beta and Atangana–Baleanu (AB) fractional derivatives. The new auxiliary equation method (NAEM) is used to extricate novel analytical solutions to the CDGSK equation. A comparative analysis of the solutions is conducted by implementing these fractional derivatives. The impact of different values of fractional parameter on the behavior of obtained solutions is also explored. The shapes and dynamics of the retrieved solutions are portrayed employing 3Dand 2Dgraphs. These new solitary wave solutions are shown to encompass dark, bright, periodic, and singular wave solutions. Analytical solutions expound that this method is an effective mathematical tool to find exact traveling wave solutions to nonlinear models found in several fields of science and engineering.http://www.sciencedirect.com/science/article/pii/S2211379722001310Traveling wave solutionsFractional Caudrey–Dodd–Gibbon–Sawada–Kotera equationBeta fractional derivativeAtangana–Baleanu fractional derivativeNew auxiliary equation method |
| spellingShingle | Adil Jhangeer Hassan Almusawa Riaz Ur Rahman Fractional derivative-based performance analysis to Caudrey–Dodd–Gibbon–Sawada–Kotera equation Results in Physics Traveling wave solutions Fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation Beta fractional derivative Atangana–Baleanu fractional derivative New auxiliary equation method |
| title | Fractional derivative-based performance analysis to Caudrey–Dodd–Gibbon–Sawada–Kotera equation |
| title_full | Fractional derivative-based performance analysis to Caudrey–Dodd–Gibbon–Sawada–Kotera equation |
| title_fullStr | Fractional derivative-based performance analysis to Caudrey–Dodd–Gibbon–Sawada–Kotera equation |
| title_full_unstemmed | Fractional derivative-based performance analysis to Caudrey–Dodd–Gibbon–Sawada–Kotera equation |
| title_short | Fractional derivative-based performance analysis to Caudrey–Dodd–Gibbon–Sawada–Kotera equation |
| title_sort | fractional derivative based performance analysis to caudrey dodd gibbon sawada kotera equation |
| topic | Traveling wave solutions Fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation Beta fractional derivative Atangana–Baleanu fractional derivative New auxiliary equation method |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722001310 |
| work_keys_str_mv | AT adiljhangeer fractionalderivativebasedperformanceanalysistocaudreydoddgibbonsawadakoteraequation AT hassanalmusawa fractionalderivativebasedperformanceanalysistocaudreydoddgibbonsawadakoteraequation AT riazurrahman fractionalderivativebasedperformanceanalysistocaudreydoddgibbonsawadakoteraequation |