Work

Generalized Darboux transformation and nonlinear localized breather wave solutions for the Kuralay-IIA equation

Year: 2026

Type: article

Abstract: In this paper, the first and N-th Darboux transformation for the integrable Kuralay-IIA equation are constructed by using the gauge transformation and the reduction condition associated with the integrability, from which various nonlinear wave solutions can be obtained. Specifically, the first and second breather waves are derived by selecting different parameters, whose nonlinear dynamics have also been discussed. The findings indicate that the real and imaginary parts of the breather waves can exhibit the characteristics of breather waves on the periodic wave backgrounds. The relevant results are expected to reveal the theoretical mechanism of nonlinear phenomena in fields such as magnetism and so on.

Source: Physics Letters A

DOI: 10.1016/j.physleta.2026.131442

Authors: Zhenjie Liu, Zheyuan Li, Yunqing Yang

Institution: Zhejiang University of Science and Technology

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,150

Funder: National Natural Science Foundation of China