Soliton interaction solutions of a (2 + 1)-dimensional nonlocal model analogous to the KdV equation
Abstract
In this paper, some new lump solutions are obtained for the [Formula: see text]-dimensional nonlocal analogues to the KdV equation derived from an ideal fluid model. We used the Hirota bilinear method to transform the considered model into its bilinear form. Using a new proposed form of the lump solutions for the transformed function, we obtain circular lump, aligned elliptic lump, tilted elliptic lump, and lump-soliton solutions for the considered model. The constraints of the existence of the obtained solutions are provided and the propagation of the obtained solutions is illustrated using some graphs.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Advanced Mathematical Physics Problems
Fractional Differential Equations Solutions
Publication details
- Journal / source
- International Journal of Geometric Methods in Modern Physics
- Volume
- 24
- Issue
- 05
- Publication date
- 27 February 2026
- Language
- EN