Rigorous construction and classification of solitary-waves and exact soliton configurations in the nonlinear coupled Maccari system
Year: 2026
Type: article
Abstract: The nonlinear coupled Maccari system, which is closely related to the Schrödinger equation, plays an important role in the modeling of nonlinear wave phenomena in areas such as deep-water wave theory, fluid dynamics, nonlinear optics, and plasma physics. In this work, the generalized exponential rational function (GERF) method is employed to derive traveling-wave and soliton solutions of the Maccari system. By introducing suitable wave-variable transformations, the governing nonlinear partial differential equations (PDEs) are reduced to ordinary differential equations (ODE) with respect to a single independent variable. The resulting analysis yields several classes of exact solutions, including non-topological and topological solitons, as well as exponential, kink-type, and periodic singular wave structures. These solutions contribute to a deeper understanding of the dynamical features represented by the Maccari system. The results further indicate that the GERF method provides a systematic analytical framework for constructing exact solutions of certain nonlinear evolution equations arising in applied mathematics and related scientific fields.
Source: Scientific Reports
Authors: Akhtar Hussain, Nermen J. Khalel, Burak Oğul, Bushra R. Al-Sinan, Amera A. Thaqfan, Elkhateeb S. Aly, Tarek F. Ibrahim
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: $2,690
OpenAlex ID: W7141387042