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 obtained for this variable-coefficient forced KdV equation.
Authors
- Jia Fu (ORCID: https://orcid.org/0000-0002-4999-489X)
- Jialin Dai
- Ji Wang (ORCID: https://orcid.org/0000-0001-5689-1592)
Institutions
- Southwestern University of Finance and Economics (CN)
- Chengdu University (CN)
- Chengdu Normal University (CN)
- Sichuan Normal University (CN)
Publication Details
- Journal
- Frontiers in Physics
- Published
- 2025-05-09
- DOI
- https://doi.org/10.3389/fphy.2025.1569964
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00