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Investigation of oceanic wave solutions to a modified (2+1)-dimensional coupled nonlinear Schrodinger system
Journal article   Peer reviewed

Investigation of oceanic wave solutions to a modified (2+1)-dimensional coupled nonlinear Schrodinger system

Kayode Oluwasegun, Samuel Ajibola, Udoh Akpan, Lanre Akinyemi and Mehmet Senol
Modern physics letters. B, Condensed matter physics, statistical physics, applied physics, v 39(19), 2550036
10 Jul 2025
DOI: https://doi.org/10.1142/S0217984925500368

Abstract

Physics, Applied Physics, Condensed Matter Physics, Mathematical Science & Technology Physical Sciences Physics
This paper explores the oceanic wave characteristics exhibited by a modified integrable generalized (2+1)-dimensional nonlinear Schr & ouml;dinger system of equations through variable coefficients. Two newly modified methods, specifically the improved nonlinear Ricatti equation method and the improved sub-equation method, have been proposed to investigate the aforementioned nonlinear system. Through the utilization of these methods, we successfully obtain traveling and solitary waves solutions for this nonlinear system. We emphasize several constraint conditions that serve to guarantee the existence of these solutions. More comprehensive information about the physical dynamical representation of some of the solutions presented is illustrated through graphical depictions. The Mathematica software package is employed to produce both three-dimensional and their corresponding contour plots, thereby improving the visualization and comprehension of the solutions. This paper illustrates that the two proposed approaches provide straightforward and efficient means of acquiring various types of soliton, rational, trigonometric, hyperbolic and exponential solutions. Moreover, they present a more potent mathematical tool for addressing a variety of other nonlinear partial differential equations that hold significance in the field of applied science and engineering.

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