Analytical solutions for the forced KdV equation with variable coefficients
This paper focuses on obtaining the exact solutions to the variable-coefficient forced Korteweg-de Vries (KdV) equation for modeling spatial inhomogeneity in fluids. By combining the direct similarity reduction-based CK method with the (G'/G) expansion method, three new similarity solutions are...
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Frontiers Media S.A.
2025-05-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2025.1569964/full |
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| author | Ji Wang Jia Fu Jialin Dai |
| author_facet | Ji Wang Jia Fu Jialin Dai |
| author_sort | Ji Wang |
| collection | DOAJ |
| description | This paper focuses on obtaining the exact solutions to the variable-coefficient forced Korteweg-de Vries (KdV) equation for modeling spatial inhomogeneity in fluids. By combining the direct similarity reduction-based CK method with the (G'/G) expansion method, three new similarity solutions are obtained for this variable-coefficient forced KdV equation. |
| format | Article |
| id | doaj-art-79b7a850457a49f7806f7e4f6f7912e2 |
| institution | OA Journals |
| issn | 2296-424X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj-art-79b7a850457a49f7806f7e4f6f7912e22025-08-20T02:28:33ZengFrontiers Media S.A.Frontiers in Physics2296-424X2025-05-011310.3389/fphy.2025.15699641569964Analytical solutions for the forced KdV equation with variable coefficientsJi Wang0Jia Fu1Jialin Dai2School of Liberal Arts and Humanities, Sichuan Vocational College of Finance and Economics Chengdu, Chengdu, ChinaSchool of Mathematical Sciences and V.C. and V.R. Key Lab, Sichuan Normal University Chengdu, Chengdu, ChinaPengzhou Tianfu Road Primary School Chengdu, Chengdu, Sichuan, ChinaThis paper focuses on obtaining the exact solutions to the variable-coefficient forced Korteweg-de Vries (KdV) equation for modeling spatial inhomogeneity in fluids. By combining the direct similarity reduction-based CK method with the (G'/G) expansion method, three new similarity solutions are obtained for this variable-coefficient forced KdV equation.https://www.frontiersin.org/articles/10.3389/fphy.2025.1569964/fullforced KdV equationdirect similarity reduction-based CK methodvariable coefficientsimilarity solutionexact solution |
| spellingShingle | Ji Wang Jia Fu Jialin Dai Analytical solutions for the forced KdV equation with variable coefficients Frontiers in Physics forced KdV equation direct similarity reduction-based CK method variable coefficient similarity solution exact solution |
| title | Analytical solutions for the forced KdV equation with variable coefficients |
| title_full | Analytical solutions for the forced KdV equation with variable coefficients |
| title_fullStr | Analytical solutions for the forced KdV equation with variable coefficients |
| title_full_unstemmed | Analytical solutions for the forced KdV equation with variable coefficients |
| title_short | Analytical solutions for the forced KdV equation with variable coefficients |
| title_sort | analytical solutions for the forced kdv equation with variable coefficients |
| topic | forced KdV equation direct similarity reduction-based CK method variable coefficient similarity solution exact solution |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2025.1569964/full |
| work_keys_str_mv | AT jiwang analyticalsolutionsfortheforcedkdvequationwithvariablecoefficients AT jiafu analyticalsolutionsfortheforcedkdvequationwithvariablecoefficients AT jialindai analyticalsolutionsfortheforcedkdvequationwithvariablecoefficients |