| Issue |
EPL
Volume 149, Number 5, March 2025
|
|
|---|---|---|
| Article Number | 52001 | |
| Number of page(s) | 4 | |
| Section | Mathematical and interdisciplinary physics | |
| DOI | https://doi.org/10.1209/0295-5075/adb6d2 | |
| Published online | 11 March 2025 | |
On the variational principles of the Burgers-Korteweg-de Vries equation in fluid mechanics
School of Physics and Electronic Information Engineering, Henan Polytechnic University - Jiaozuo, 454003, China
Received: 29 November 2024
Accepted: 17 February 2025
As is known to all, it is extraordinarily difficult to construct the variational principles of the nonlinear partial differential equations (NPDEs) for fluid mechanics. In this work, we focus on the Burgers-Korteweg-de Vries equation and attempt to establish its generalized variational principle by employing the semi-inverse method (SIM). Two different generalized variational principles (GVPs) are extracted and the detailed derivation process is presented. The GVPs can present some new inspiration for the study and application of the variational method.
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