Work

Anomalous Scattering and Weak Interactions of Lumps for the (2 + 1)-Dimensional Generalized Kadomtsev-Petviashvili Equation

Year: 2026

Type: article

Abstract: In this paper, we study anomalous scattering and weak interactions of lumps for the (2+1)-dimensional generalized Kadomtsev-Petviashvili equation. Together with the long-wave-limit method, the normal scattering lump solutions are obtained. By adding perturbation terms to the normal scattering lump solutions, the anomalous scattering of two-lump and three-lump solutions is derived. The weak interactions among one soliton with two lumps, two solitons and two lumps as well as the interactions between one normal lump and two anomalous lumps are constructed. The dynamic properties of these anomalous scatterings and weak interactions are analyzed in detail. In these hybrid anomalous scattering solutions, from the long-time asymptotic behavior of the solutions, we find that the peak trajectories separate as t when |t|→∞. In particular, a head-on collision of two lumps leads to 135° scattering. Moreover, the anomalous lumps exhibit the same dynamical properties when they collide with solitons. The results described in this paper could also be generalized to the other (2 + 1)-dimensional integrable systems.

Source: Applied Sciences

DOI: 10.3390/app16073212

Authors: Zi-Wen Li, Ai-Hua Chen

Institution: University of Shanghai for 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: gold

Estimated APC paid: $2,896

Funder: National Natural Science Foundation of China