New optical soliton solutions for coupled resonant Davey-Stewartson system with conformable operator

This paper investigates the novel soliton solutions of coupled fractional system resonant Davey-Stewartson equations, which is a notable and significant model in dynamics fluids for characterizing 3-dimensional wave packet evolution finite depth on water within weak nonlinearity. The derivatives are considered terms conformable sense. Accordingly, we utilize complex traveling transformation to reduce proposed an integer-order ordinary differential equations. phase portrait equilibria obtained will be studied. Using ansatz method, new types bright, singular, dark derived established view hyperbolic, trigonometric, rational functions governing system. To achieve this, illustrative examples provided demonstrate feasibility reliability procedure used this study. trajectory waves shown explicitly graphically. effect behavior acquired different orders also discussed. By comparing method with other existing methods, results show that execute concise, simple, straightforward. useful obtaining explaining some phenomena.