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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

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Published on: December 15, 2021

Phase shielding soliton in parametrically driven systems.

Marcel G Clerc1, Mónica A Garcia-Ñustes, Yair Zárate

  • 1Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile. marcel@dfi.uchile.cl

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 18, 2013
PubMed
Summary
This summary is machine-generated.

Researchers explored phase shielding solitons, a novel type of localized state in extended systems. Analytical and numerical methods confirmed their existence and dynamics in various dimensions, advancing understanding of dissipative solitons.

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Area of Science:

  • Nonlinear physics
  • Condensed matter physics

Background:

  • Parametrically driven systems can host dissipative localized states.
  • These states typically possess uniform phase and bell-shaped modulus.
  • Nonuniform phase structures, like phase shielding solitons, have recently been identified.

Purpose of the Study:

  • Investigate the properties of phase shielding solitons.
  • Develop an analytical description for their structure and dynamics.
  • Confirm their presence in anisotropic ferromagnetic systems.

Main Methods:

  • Utilized the parametrically driven and damped nonlinear Schrödinger equation.
  • Performed analytical investigations in one and two dimensions.
  • Conducted numerical simulations for validation and exploration.

Main Results:

  • Developed an analytical description for phase shielding solitons.
  • Confirmed the existence and properties of these solitons in 1D and 2D.
  • Demonstrated good agreement between analytical predictions and numerical simulations.
  • Observed phase shielding solitons in anisotropic ferromagnetic systems.

Conclusions:

  • Phase shielding solitons are a significant class of dissipative localized states.
  • The developed analytical framework accurately describes their structure and dynamics.
  • Higher-order terms are crucial for understanding their phase dynamics.