Work

Bäcklund Transformation and Some Exact Soliton Solutions for a (2+1)-dimensional Nonlinear Evolution Equation

Year: 2025

Type: article

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.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250155

Authors: Yanmei Sun, Zixiaoyi Ren

Institutions: Weifang University, Jiangsu Normal University, Jiangsu Normal University Kewen College

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4416662152

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Cites: 16

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