BÄCKLUND TRANSFORMATION AND SOME EXACT SOLITON SOLUTIONS FOR A (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATION

Yanmei Sun; Zixiaoyi Ren

doi:10.11948/20250155

2026 Volume 16 Issue 3

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Yanmei Sun, Zixiaoyi Ren. BÄCKLUND TRANSFORMATION AND SOME EXACT SOLITON SOLUTIONS FOR A (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATION[J]. Journal of Applied Analysis & Computation, 2026, 16(3): 1130-1139. doi: 10.11948/20250155

Citation:

Yanmei Sun, Zixiaoyi Ren. BÄCKLUND TRANSFORMATION AND SOME EXACT SOLITON SOLUTIONS FOR A (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATION[J]. Journal of Applied Analysis & Computation, 2026, 16(3): 1130-1139. doi: 10.11948/20250155

BÄCKLUND TRANSFORMATION AND SOME EXACT SOLITON SOLUTIONS FOR A (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATION

Yanmei Sun^1, ,,
Zixiaoyi Ren^2,

1.
School of Mathematics and Statistics, Weifang University, Weifang 261061, China
2.
School of Artificial Intelligence and Software Engineering, Jiangsu Normal University Kewen College, Xuzhou 221132, China

Author Bio: Email: 18660662534@163.com(Z. Ren)
Corresponding author: Email: sunyanmei2009@126.com(Y. Sun)

Abstract

Abstract

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.
- Bäcklund transformation /
- nonlinear evolution equation /
- superposition formula /
- soliton solution
MSC: 35Q53, 37K35, 35C08

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References

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