Work

Bäcklund Transformation for Solving a (3+1)-Dimensional Integrable Equation

Year: 2025

Type: article

Abstract: A new generalized (3+1)-dimensional Kadomtsev-Petviashvil (3dKP) equation is derived from the inverse scattering transform method. This equation can reduce to the standard KP equation and the well-know (3+1)- dimensional equation. Making use of the Lax pair transformation, a B¨acklund transformation of the generalized (3+1)- dimensional KP equation is constructed and some soliton solutions are produced. Finally, a superposition formula by making use of the Ba¨cklund transformation is singled out as well. As we know that such the work presented in the paper is not studied up to now.

Source: Axioms

DOI: 10.3390/axioms14030225

Authors: Binlu Feng, Linlin Gui, Yufeng Zhang, Siqi Han

Institutions: Yantai Nanshan University, Weifang University, China University of Mining and Technology

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: $2,896

Funder: National Natural Science Foundation of China