AUTHOR=Wang Ji , Fu Jia , Dai Jialin 

TITLE=Analytical solutions for the forced KdV equation with variable coefficients

JOURNAL=Frontiers in Physics

VOLUME=Volume 13 - 2025

YEAR=2025

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2025.1569964

DOI=10.3389/fphy.2025.1569964

ISSN=2296-424X

ABSTRACT=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.