Two Analytical Schemes for the Optical Soliton Solution of the (2 + 1) Hirota–Maccari System Observed in Single-Mode Fibers

In this scientific research article, the new Kudryashov method and tanh-coth method, which have not been applied before, are employed to construct analytical soliton solutions of (2+1)-dimensional Hirota–Maccari system. The system is a special kind nonlinear Schrödinger equation (NLSEs) that models motion isolated waves localized in small part space, used such various fields as fiber optics telecommunication systems, optics, plasma physics, hydrodynamics. addition, defines dynamical characters femtosecond pulse propagation single-mode fibers. Analytical model successfully acquired with assistance symbolic computation utilizing these methods. Finally, 3D, 2D, contour graphs depicted at specific values parameters. It shown uncomplicated, very effective, easily applicable, reliable, indeed vital mathematical tools solving models.