Duality family of traveling-wave KdV equation
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.
Authors
- Wu-Sheng Dai
- Wen-Du Li
- Xin Gu
- Yuan-Yuan Liu
Institutions
- Tianjin Normal University (CN)
- Tianjin University (CN)
- Yantai University (CN)
- Nankai University (CN)
- Shandong Institute of Business and Technology (CN)
Publication Details
- Journal
- Springer Link (Chiba Institute of Technology)
- Published
- 2026-02-16
- DOI
- https://doi.org/10.1209/0295-5075/ae4139/pdf
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00