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By employing a wave transformation, the system\u2019s nonlinear partial differential equation is reduced to a nonlinear ordinary differential equation, which is then solved using the BS\u2010EM approach. As a result, several new traveling wave solutions, which have not been previously reported in the literature, have been successfully obtained. These solutions provide new insights into the physical dynamics of the system and also satisfy the (2 + 1)\u2010dimensional time\u2013fractional resonant Davey\u2013Stewartson equation. Furthermore, the analytical and graphical analyses of the obtained solutions have been carried out, and the wave profiles have been examined under various parameter conditions. All computations and graphical visualizations in this study were performed using the Wolfram Mathematica 12 software.<\/jats:p>","DOI":"10.1155\/cmm4\/5529397","type":"journal-article","created":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T09:19:46Z","timestamp":1742203186000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Some New Soliton Solutions of Time Fractional Resonant Davey\u2013Stewartson 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