| Issue |
EPL
Volume 153, Number 3, February 2026
|
|
|---|---|---|
| Article Number | 33002 | |
| Number of page(s) | 7 | |
| Section | Fluid and nonlinear dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/ae4139 | |
| Published online | 16 February 2026 | |
Duality family of traveling-wave KdV equation
1 Department of Physics, Tianjin University - Tianjin 300350, PRC
2 School of Mathematics and Information Science, Shandong Technology and Business University Yantai 264005, PRC
3 Theoretical Physics Division, Chern Institute of Mathematics, Nankai University - Tianjin 300071, PRC
4 College of Physics and Materials Science, Tianjin Normal University - Tianjin 300387, PRC
Received: 6 December 2025
Accepted: 3 February 2026
Abstract
We reveal a duality in the traveling-wave generalized Korteweg-de Vries (GKdV) equation. Based on this duality, we propose a method for constructing families of exactly solvable equations. Equations related by the duality transformation form a duality family, enabling the derivation of solutions for all members from any single solved equation.
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