BÄCKLUND TRANSFORMATION AND SOME EXACT SOLITON SOLUTIONS FOR A (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATION
This study presents a systematic derivation of exact solutions for a (2+1)- dimensional nonlinear evolution equation through Bäcklund transformation techniques. This equation can be reduced to the standard Korteweg-de Vries (KdV) equation. A Bäcklund transformation of the generalized (2+1)-dimensional KdV equation is constructed, and some exact soliton solutions are produced. In addition, the superposition formula is obtained.
Authors
- Z. X. Ren (ORCID: https://orcid.org/0000-0002-2854-0629)
- Yanmei Sun (ORCID: https://orcid.org/0000-0002-1339-4999)
Publication Details
- Journal
- Journal of Applied Analysis & Computation
- Published
- 2025-11-26
- DOI
- https://doi.org/10.11948/20250155
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00