Novel soliton solutions to the (3+1)-dimensional potential YTSF equation via generalized expoinential rational function method

The (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama(YTSY) equation arising in physical dynamics is investigated in this work. The geralized exponential rational function (GERF) method, an effective tool for deriving wave solutions, is applied to tackle this equation. Several new soliton wave solutions are obtained by our careful selection of suitable parameters. Additionally, the three-dimensional, two-dimensional and contour plots of these wave solutions are prensented to illustrate different travelling waves. This study further ananlyzes how the characteristics of soliton waves are influenced by the chosen parameters, a topic of profound physical relevance.