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Updated: May 18, 2026
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Localized pulses for the quintic derivative nonlinear Schrödinger equation on a continuous-wave background
1Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems, School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia.
Summary
Researchers identified a "gray" solitary pulse in quintic derivative nonlinear Schrödinger equations. This method isolates wave patterns using integrals of motion, applicable to hydrodynamic wave packets and negative refractive index media.
Area of Science:
- Nonlinear optics
- Mathematical physics
Background:
- Quintic derivative nonlinear Schrödinger equations are relevant in studying hydrodynamic wave packets and materials with a negative refractive index.
- Understanding wave propagation in these complex systems is crucial for various physics applications.
Purpose of the Study:
- To propose a novel procedure for isolating propagating wave patterns in quintic derivative nonlinear Schrödinger equations.
- To identify specific wave solutions, such as solitary pulses, within these models.
Main Methods:
- The proposed method utilizes two integrals of motion to analyze and isolate wave patterns.
- Mathematical analysis of the quintic derivative nonlinear Schrödinger equations.
Main Results:
- A procedure to isolate propagating wave patterns was successfully developed.
- A specific solution, a "gray" solitary pulse (a dark localized mode with a nonzero minimum intensity on a continuous-wave background), was identified.
Conclusions:
- The developed method effectively isolates wave patterns in quintic derivative nonlinear Schrödinger equations.
- The identification of the "gray" solitary pulse demonstrates the practical application of the method in understanding nonlinear wave phenomena.
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