Work

A Novel Study of the (2+1)-Dimensional Hietarinta Equation with a Trivial Balancing Number

Year: 2025

Type: article

Abstract: In the study of nonlinear evolution equations, the three-soliton method was implemented to investigate the integrability of the (1+1)-dimensional bilinear Hietarinta equation. In this paper, we study a (2+1)-dimensional version of the Hietarinta equation. It will be shown that the transformed (2+1)-dimensional Hietarinta equation admits a trivial balancing number. The symmetry method will be used to derive exact solutions of this equation. It will be further shown that although the balancing number is trivial, this equation admits some special analytical solutions via ansatz methods. Furthermore, we derive low-order conservation of the aforesaid equation. Finally, a brief physical interpretation of the derived results is presented.

Source: International Journal of Theoretical Physics

DOI: 10.1007/s10773-025-05960-4

Authors: M. F. Seele, B. Muatjetjeja, T. G. Motsumi, A. R. Adem

Institutions: University of Botswana, University of South Africa, North-West University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: University of South Africa