Work

Bäcklund transformation and soliton solutions for a generalized Wadati-Konno-Ichikawa equation

Year: 2025

Type: article

Abstract: By employing a reciprocal transformation, we relate the generalized Wadati–Konno–Ichikawa (gWKI) equation to an associated gWKI (agWKI) equation. Utilizing the Darboux transformation of the agWKI equation and Bianchi's theorem of permutability, we derive the $ N $-Bäcklund transformation for the gWKI equation. As an application, we obtain some soliton solutions for the gWKI equation, including smooth solitons, bursting solitons, and loop-type solitons. Furthermore, we explore the interactions between two solitons.

Source: AIMS Mathematics

DOI: 10.3934/math.2025359

Authors: Chenglu Zhu, Lihua Wu

Institution: Huaqiao University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funders: Youth Innovation Foundation of Xiamen, National Natural Science Foundation of China