Soliton interaction with an external traveling wave

Area of Science:

• Nonlinear optics
• Soliton dynamics
• Optical fiber communications

Background:

• Soliton pulses are crucial in nonlinear optics and optical fiber communications.
• The nonlinear Schrödinger equation (NLSE) models these phenomena.
• External driving forces can alter soliton behavior.

Purpose of the Study:

• To analytically and numerically investigate soliton pulse dynamics in a driven NLSE.
• To explore the integrability and stability of solitons under external traveling wave influence.
• To provide a physical derivation and applications in optical fibers.

Main Methods:

• Analytical and numerical study of the driven NLSE.
• Utilizing Hamiltonian structure for adiabatic approximation.
• Investigating fixed points and linear stability.
• Phase space analysis of soliton parameters.

Main Results:

• The driven single-soliton system is integrable in the adiabatic approximation.
• Identified fixed points corresponding to Doppler-shifted resonance.
• Characterized phase space structure and topological changes with coupling strength.
• Derived the driven NLSE for asymmetric twin-core optical fibers.

Conclusions:

• The study reveals integrable dynamics and resonance phenomena in driven NLSE systems.
• Findings offer insights into soliton stabilization and amplification in optical systems.
• The derived model is relevant for advanced optical fiber applications.