An integrable nonlinear Schrödinger equation incorporating time-varying phase modulation is presented. A family of solutions is identified, including solitons that oscillate in position and frequency. The equation is used to model steady-state asynchronous laser mode locking. Numerical simulations are used to verify the model and to explore the breakdown of the model as the product of pulse width and modulation frequency is increased.
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John D. Moores (2001) studied this question.
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