Simplified Hirota method for analyzing a novel extended (4+1)-dimensional Fokas equation, Part (I): multiple soliton and lump solutions

Romanian Reports in Physics 2026 Open access

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Authors: ABDUL-MAJID WAZWAZ, HAIFA A. ALYOUSEF, ALVARO H. SALAS, C. G. L. TIOFACK, Sherif M. E. Ismaeel, Weaam Alhejaili, SAMIR A. EL-TANTAWY
DOI: 10.59277/romrepphys.2026.78.109
Cited by: 1

Abstract

This paper aims to explore a variety of distinct physical solutions for a novel extended nonlinear (4+1)-dimensional Fokas equation (4D-FE). Using the simplified Hirota method (SHM) systematically, we showcase multiple soliton solutions for this model. The dispersion relations and phase shifts associated with the colliding solitons are determined. Additionally, for a (2+1)-dimensional model obtained from the 4D-FE, the lump solutions are derived. Moreover, some derived solutions are graphically simulated to provide context for the dynamics of wave propagation described by these solutions.

Fields of Study & Subjects

Nonlinear Waves and Solitons Fractional Differential Equations Solutions Algebraic structures and combinatorial models

Publication details

Journal / source
Romanian Reports in Physics
Publisher
Editura Academiei Române
Volume
78
Issue
2
Pages
109–109
Publication date
4 June 2026