This study focuses on finding optical soliton solutions for the fractional-order Kundu–Eckhaus equation (FKE) using the Riccati–Bernoulli sub-ODE technique and the Backlund transformation. The primary objective is to provide precise solutions for the FKE, which is a nonlinear partial differential equation with fractional derivatives. The research utilizes symbolic computation tools like Maple and Mathematica to derive and verify these solutions. The study highlights the effectiveness of the proposed method in obtaining a wide range of solutions, including solitary waves, rogue waves, and complex wave patterns. The solutions are validated by ensuring they satisfy the original fractional-order nonlinear partial differential equations. The results are visualized through 3D and density plots, providing a clear understanding of the solutions' behavior under different parameter values. The study contributes to the field of nonlinear wave equations, offering valuable insights into the dynamics of complex systems and enhancing the comprehension of fractional-order nonlinear partial differential equations.This study focuses on finding optical soliton solutions for the fractional-order Kundu–Eckhaus equation (FKE) using the Riccati–Bernoulli sub-ODE technique and the Backlund transformation. The primary objective is to provide precise solutions for the FKE, which is a nonlinear partial differential equation with fractional derivatives. The research utilizes symbolic computation tools like Maple and Mathematica to derive and verify these solutions. The study highlights the effectiveness of the proposed method in obtaining a wide range of solutions, including solitary waves, rogue waves, and complex wave patterns. The solutions are validated by ensuring they satisfy the original fractional-order nonlinear partial differential equations. The results are visualized through 3D and density plots, providing a clear understanding of the solutions' behavior under different parameter values. The study contributes to the field of nonlinear wave equations, offering valuable insights into the dynamics of complex systems and enhancing the comprehension of fractional-order nonlinear partial differential equations.