Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation
Abstract In this research, we investigate the integrability properties of the Schamel–Korteweg–de Vries (S-KdV) equation, which is important for understanding the effect of electron trapping in the nonlinear interaction of ion-acoustic waves. Using the optimal system, we come over reduced ordinary d...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2023-09-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-42477-4 |
| _version_ | 1797453375775703040 |
|---|---|
| author | A. Hussain Younes Chahlaoui M. Usman F. D. Zaman Choonkil Park |
| author_facet | A. Hussain Younes Chahlaoui M. Usman F. D. Zaman Choonkil Park |
| author_sort | A. Hussain |
| collection | DOAJ |
| description | Abstract In this research, we investigate the integrability properties of the Schamel–Korteweg–de Vries (S-KdV) equation, which is important for understanding the effect of electron trapping in the nonlinear interaction of ion-acoustic waves. Using the optimal system, we come over reduced ordinary differential equations (ODEs). To deal with reduced ODEs for this problem, Lie symmetry analysis is combined with the modified auxiliary equation (MAE) procedure and the generalized Jacobi elliptic function expansion (JEF) method. The analytical solutions reported here are novel and have a wide range of applications in mathematical physics. |
| first_indexed | 2024-03-09T15:21:55Z |
| format | Article |
| id | doaj.art-e62e176f2e1245cbb94382fea309b10e |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-09T15:21:55Z |
| publishDate | 2023-09-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-e62e176f2e1245cbb94382fea309b10e2023-11-26T12:48:26ZengNature PortfolioScientific Reports2045-23222023-09-0113111810.1038/s41598-023-42477-4Optimal system and dynamics of optical soliton solutions for the Schamel KdV equationA. Hussain0Younes Chahlaoui1M. Usman2F. D. Zaman3Choonkil Park4Abdus Salam School of Mathematical Sciences, Government College UniversityMathematics Department, College of Science, King Khalid UniversityCollege of Electrical and Mechanical Engineering (CEME), National University of Sciences and Technology (NUST)Abdus Salam School of Mathematical Sciences, Government College UniversityResearch Institute for Natural Sciences, Department of Mathematics, Hanyang UniversityAbstract In this research, we investigate the integrability properties of the Schamel–Korteweg–de Vries (S-KdV) equation, which is important for understanding the effect of electron trapping in the nonlinear interaction of ion-acoustic waves. Using the optimal system, we come over reduced ordinary differential equations (ODEs). To deal with reduced ODEs for this problem, Lie symmetry analysis is combined with the modified auxiliary equation (MAE) procedure and the generalized Jacobi elliptic function expansion (JEF) method. The analytical solutions reported here are novel and have a wide range of applications in mathematical physics.https://doi.org/10.1038/s41598-023-42477-4 |
| spellingShingle | A. Hussain Younes Chahlaoui M. Usman F. D. Zaman Choonkil Park Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation Scientific Reports |
| title | Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation |
| title_full | Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation |
| title_fullStr | Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation |
| title_full_unstemmed | Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation |
| title_short | Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation |
| title_sort | optimal system and dynamics of optical soliton solutions for the schamel kdv equation |
| url | https://doi.org/10.1038/s41598-023-42477-4 |
| work_keys_str_mv | AT ahussain optimalsystemanddynamicsofopticalsolitonsolutionsfortheschamelkdvequation AT youneschahlaoui optimalsystemanddynamicsofopticalsolitonsolutionsfortheschamelkdvequation AT musman optimalsystemanddynamicsofopticalsolitonsolutionsfortheschamelkdvequation AT fdzaman optimalsystemanddynamicsofopticalsolitonsolutionsfortheschamelkdvequation AT choonkilpark optimalsystemanddynamicsofopticalsolitonsolutionsfortheschamelkdvequation |