Trigonometric function solutions of Schwarzian Korteweg–de Vries equations
Abstract In the paper we derive new solutions for the discrete and continuous Schwarzian Korteweg–de Vries (SKdV) equations. These solutions are characterized by trigonometric functions as backgrounds. For the discrete SKdV equation, its solutions are derived by using trigonometric function seeds and Bäcklund transformation. Solutions for the continuous SKdV equation are obtained by taking continuum limits.
Authors
- Xingyu Liu (ORCID: https://orcid.org/0000-0003-0677-7024)
- Da‐jun Zhang (ORCID: https://orcid.org/0000-0003-3691-4165)
- Conghan Wang
Institutions
- Shanghai University (CN)
Publication Details
- Journal
- Communications in Theoretical Physics
- Published
- 2025-04-02
- DOI
- https://doi.org/10.1088/1572-9494/adc7da
- Citations
- 3
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 11.18
Funders
- National Natural Science Foundation of China