Work

Four auto-Bäcklund transformations of two (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani systems for shallow water waves

Year: 2026

Type: article

Abstract: Commun. Theor. Phys. 75, 085006 (2023) has made a recent contribution regarding the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani direction, and currently we endeavor to enhance the completeness along such a direction. Applicable to the shallow water waves, in this paper, we study a couple of the (2+1)-dimensional Korteweg-de Vries-Sawada- Kotera-Ramani Systems. We work out four auto-Bäcklund transformations via a non-characteristic movable singular manifold, along with eight families of solitonic and analytic solutions. All the results in this paper count on the coefficients in the original Systems. Different selections of those coefficients could be useful to learn about the shallow-water-wave dynamics of our auto-Bäcklund transformations, solitons and analytic solutions for the original Systems.

Source: Communications in Theoretical Physics

DOI: 10.1088/1572-9494/ae8239

Author: Xin-Yi Gao

Institutions: North China University of Technology, Beijing Municipal Education Commission

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: North China University of Technology

Awards: G1204050428, G8879750640