Work

Nonlinear Dynamics of M-Lump and Hybrid Solutions of a Novel (2+1)-Dimensional Generalized Sawada-Kotera Equation

Year: 2026

Type: article

Abstract: In this study, a novel (2+1)-dimensional generalized Sawada-Kotera (gSK) equation is first proposed, followed by the derivation of its corresponding Hirota bilinear form (bgSK). Utilizing the Hirota direct method and the “long-wave” limit of its N-soliton solutions, we obtain M-lump solutions that decay to a uniform background state in all spatial directions. Furthermore, we construct hybrid solutions consisting of M-lump and line-soliton (stripe-soliton) interactions. Finally, the dynamic properties and evolutionary behavior of these solutions are illustrated through detailed numerical simulations and graphical analysis.

Source: Symmetry

DOI: 10.3390/sym18020242

Authors: Xuan Wang, Jian-Ping Yu, Yong-Li Sun

Institutions: Beijing University of Chemical Technology, University of Victoria

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