Cubic-quartic optical solitons with polarization-mode dispersion by the improved adomian decomposition scheme

Area of Science:

• Nonlinear Optics
• Computational Physics
• Optical Communications

Background:

• Optical solitons are crucial for high-speed data transmission.
• Birefringent fibers and Kerr law nonlinearity are key in advanced optical systems.
• Accurate numerical methods are needed for complex nonlinear evolution equations.

Purpose of the Study:

• To numerically compute cubic-quartic optical solitons in birefringent fibers.
• To validate the Improved Adomian Decomposition Method (IADM) against analytical solutions.
• To assess the potential of IADM in optimizing optical communication systems.

Main Methods:

• The Improved Adomian Decomposition Method (IADM) was employed.
• The Gerdjikov-Ivanov equation was solved using ADM and IADM.
• Numerical simulations were performed to validate accuracy and stability.

Main Results:

• IADM demonstrated high accuracy and effectiveness in solving nonlinear evolution equations.
• A strong correlation was found between numerical and analytical soliton expressions.
• IADM exhibited superior convergence compared to the standard Adomian Decomposition Method (ADM).

Conclusions:

• IADM is a reliable and efficient method for computing optical solitons.
• The findings confirm the potential of IADM for applications in optical communication system design.
• The study highlights the significance of advanced numerical techniques for nonlinear phenomena.