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Control of solitons
1Institute of Metal Physics, Ekaterinburg, Russian Federation.
Summary
Adiabatic control of envelope solitons is achieved using autoresonance. This method allows for long-term manipulation of soliton amplitude and velocity under specific driving conditions.
Area of Science:
- Nonlinear dynamics
- Soliton physics
- Mathematical physics
Background:
- Envelope solitons are fundamental in nonlinear systems.
- Controlling soliton behavior is crucial for applications.
- The driven nonlinear Schrödinger equation models various wave phenomena.
Purpose of the Study:
- To develop a method for adiabatic control of envelope solitons.
- To investigate the autoresonant effect for soliton manipulation.
- To determine the conditions for controlling soliton amplitude and velocity.
Main Methods:
- Developing an adiabatic control approach.
- Utilizing autoresonant effect with two-phase resonant driving.
- Analyzing threshold conditions for driving parameters.
- Performing numerical simulations for validation.
Main Results:
- A method for adiabatic control of envelope solitons is established.
- Threshold conditions for controlling soliton amplitude and velocity are identified.
- Numerical simulations confirm long-term control of solitons.
- Local fulfillment of threshold conditions is demonstrated.
Conclusions:
- The developed method enables precise, long-term control of envelope solitons.
- Autoresonance provides an effective mechanism for soliton manipulation.
- The findings are relevant for controlling wave packets in nonlinear media.
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