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ORIGINAL RESEARCH article
Front. Phys.
Sec. Statistical and Computational Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1569964
Analytical Solutions for the Forced KdV Equation with Variable Coefficients
Provisionally accepted
Ji Wang 1*
Jialin Dai 2- 1 Sichuan Vocational College of Finance and Economics, Chengdu, China
- 2 Pengzhou Tianfu Road Primary School, Chengdu, China
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.
Keywords: Forced KdV equation, Direct similarity reduction-based CK method, Variable coefficient, Similarity solution, Exact solution
Received: 02 Feb 2025; Accepted: 25 Mar 2025.
Copyright: © 2025 Wang and Dai. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence:
Ji Wang, Sichuan Vocational College of Finance and Economics, Chengdu, China
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