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Dragging two-dimensional discrete solitons by moving linear defects.

Valeriy A Brazhnyi1, Boris A Malomed

  • 1Centro de Física do Porto, Faculdade de Ciências, Universidade do Porto, Porto, Portugal. brazhnyy@gmail.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 27, 2011
PubMed
Summary
This summary is machine-generated.

Small-amplitude solitons attached to defects can travel long distances in 2D lattices. When colliding, these solitons can fuse into one, demonstrating unique mobility and interaction dynamics.

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Area of Science:

  • Nonlinear physics
  • Condensed matter physics
  • Wave phenomena

Background:

  • Discrete nonlinear Schrödinger (DNS) lattices support soliton propagation.
  • Soliton mobility is influenced by lattice potentials and initial conditions.
  • Understanding soliton dynamics is crucial for applications in optics and Bose-Einstein condensates.

Purpose of the Study:

  • To investigate the mobility of small-amplitude solitons attached to moving defects in a 2D DNS lattice.
  • To compare the behavior of defect-bound solitons with free solitons.
  • To analyze collisions between solitons dragged by opposing defects.

Main Methods:

  • Numerical simulations of the 2D discrete nonlinear Schrödinger equation.
  • Modeling soliton interaction with moving defects.
  • Analysis of soliton trajectories and collision outcomes.

Main Results:

  • Free solitons localize due to the Peierls-Nabarro potential, irrespective of initial velocity.
  • Solitons attached to defects exhibit indefinite mobility below a critical velocity, navigating complex paths.
  • Low-velocity collisions between oppositely dragged solitons result in fusion and symmetry breaking.

Conclusions:

  • Moving defects can overcome the pinning potential, enabling sustained soliton transport.
  • Soliton-defect systems offer a mechanism for controlled, long-range soliton propagation.
  • Soliton collisions in dragged systems can lead to emergent phenomena like spontaneous symmetry breaking and fusion.