Abstract
In this work we examine an extended nonlinear (2+1)-dimensional Sasa–Satsuma equation that covers the effect of perturbations. The extended model includes fourth-order spatial derivatives. We study the influence of the nonlinearity and spatial dispersions effects given in spatial directions x and y. We formally derive a variety of optical soliton solutions, that include bright, dark, exponential, singular, and rational solutions. We employ useful techniques to retrieve this variety of optical soliton solutions.
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