This article explores a wide range of envelope soliton pulses and their behavior during propagation through a birefringent optical fber. The propagation of light in such fbers is governed by two coupled non-linear Schrödinger equations (CNLSEs), which account for both coherent and incoherent non-linear couplings. To investigate these solitons, an improved modifed extended tanh function scheme (IMETFS) is employed. The study focuses on elliptical core optical fbers and examines the signifcance of various optical solitons in the presence of group-velocity dispersion and third-order nonlinearity. The fndings illustrate that birefringent optical fbers can generate a diverse array of nonlinear periodic waves and localized pulses. The diferent types of soliton solutions identifed include singular, bright, rational, exponential, Jacobi elliptic functions (JEFs), Weierstrass elliptic doubly periodic solutions, and singular periodic solutions. Comparisons with existing literature highlight the novelty and substantive contributions of the discovered wave solutions to current research in nonlinear optics. The success of this approach suggests its potential applicability in addressing nonlinear challenges across diferent felds, particularly in soliton theory, where similar models are frequently encountered. Additionally, the article presents visual representations of these solutions through 3D and 2D plots, aiding in the understanding of their behaviors.
