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Related Experiment Videos

Ring solitons on vortices.

P G Kevrekidis1, H E Nistazakis, D J Frantzeskakis

  • 1Program in Applied and Computational Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, New Jersey 08544, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
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The interaction between ring dark solitons (RDS) and antidark solitons (RADS) with vortices can create isotropic or spiral patterns. The vortex-RDS interaction is attractive, while vortex-RADS is repulsive, influencing structure formation.

Area of Science:

  • Nonlinear Optics
  • Mathematical Physics

Background:

  • Solitons are stable, self-reinforcing solitary waves.
  • Vortices are topological defects in wave fields.
  • Nonlinear Schrödinger equation describes wave propagation in various media.

Purpose of the Study:

  • Investigate the interaction between ring dark/antidark solitons and vortices.
  • Analyze pattern formation and structural changes during interaction.
  • Explore the dynamics of solitons and vortices in nonlinear media.

Main Methods:

  • Direct numerical simulations of the nonlinear Schrödinger equation.
  • Variational-type approach using the system's Hamiltonian.
  • Analysis of soliton and vortex dynamics and stability.

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Main Results:

  • Interaction yields isotropic or spiral patterns, dependent on soliton amplitude.
  • Vortex-soliton interactions are attractive (RDS) or repulsive (RADS).
  • Eccentric interactions generate localized multispot coherent structures.
  • Spiral dark solitons exhibit core instability, forming rotating dipoles.

Conclusions:

  • Soliton-vortex interactions lead to complex pattern formation and structural transformations.
  • The amplitude of ring solitons dictates the resulting interaction pattern.
  • Vortex-soliton interactions can be harnessed to create localized coherent structures.