The Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets\nof water waves that move in one direction but in which the wavesâ?? amplitude is modulated in spatial directions. This paper\nuses the Generalized Elliptic Equation Rational Expansion (GEERE) technique to extract fresh exact solutions for the DSE. As\na consequence, solutions with parameters of trigonometric, hyperbolic, and rational function are achieved. To display the physical\ncharacteristics of this model, the solutions obtained are graphically displayed. Modulation instability assessment of the outcomes\nacquired is also discussed and it demonstrates that all the solutions built are accurate and stable.
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