Sine-Gordon kink-antikink generation on spatially periodic potentials

doi:https://doi.org/10.1103/PhysRevA.45.R5369

Title: Sine-Gordon kink-antikink generation on spatially periodic potentials

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Abstract

A spatially periodic perturbation can lead to a breakup of large-amplitude sine-Gordon breathers into kink and antikink solutions, each oscillating around a minimum of the perturbing potential. This behavior can be understood by studying the effective potential experienced by the breather (bound kink-antikink) or the (free) kink-antikink solution as long as kink and antikink are sufficiently far apart. The resulting kinks and antikinks move independently and nearly radiationlessly in the presence of the perturbation and can travel arbitrarily far for sufficiently large initial kinetic energy. Upon interacting with each other they are strongly affected by the perturbation, lose energy by radiating, and can end in a bound state having the character of a distorted breather.

Authors:

Scharf, R; Kivshar, Y S; Sanchez, A; Bishop, A R ^[1]

Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

Publication Date:: 1992-04-15

OSTI Identifier:: 7114302

Resource Type:: Journal Article

Journal Name:: Physical Review A. General Physics; (United States)

Additional Journal Information:: Journal Volume: 45:8; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; MATERIALS; SOLITONS; CRYSTALS; DISLOCATIONS; EXCITATION; FERROELECTRIC MATERIALS; MAGNETS; POTENTIALS; SINE-GORDON EQUATION; WAVE PROPAGATION; CRYSTAL DEFECTS; CRYSTAL STRUCTURE; ENERGY-LEVEL TRANSITIONS; EQUATIONS; FIELD EQUATIONS; LINE DEFECTS; QUASI PARTICLES; 661100* - Classical & Quantum Mechanics- (1992-); 665000 - Physics of Condensed Matter- (1992-)

Citation Formats


                    Scharf, R, Kivshar, Y S, Sanchez, A, and Bishop, A R. Sine-Gordon kink-antikink generation on spatially periodic potentials.  United States: N. p., 1992. 
        Web.  doi:10.1103/PhysRevA.45.R5369.

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                    Scharf, R, Kivshar, Y S, Sanchez, A, & Bishop, A R. Sine-Gordon kink-antikink generation on spatially periodic potentials.  United States.  https://doi.org/10.1103/PhysRevA.45.R5369

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                    Scharf, R, Kivshar, Y S, Sanchez, A, and Bishop, A R. Wed .  
        "Sine-Gordon kink-antikink generation on spatially periodic potentials".  United States.  https://doi.org/10.1103/PhysRevA.45.R5369.

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@article{osti_7114302,

  title        = {Sine-Gordon kink-antikink generation on spatially periodic potentials},

  author       = {Scharf, R and Kivshar, Y S and Sanchez, A and Bishop, A R},

  abstractNote = {A spatially periodic perturbation can lead to a breakup of large-amplitude sine-Gordon breathers into kink and antikink solutions, each oscillating around a minimum of the perturbing potential. This behavior can be understood by studying the effective potential experienced by the breather (bound kink-antikink) or the (free) kink-antikink solution as long as kink and antikink are sufficiently far apart. The resulting kinks and antikinks move independently and nearly radiationlessly in the presence of the perturbation and can travel arbitrarily far for sufficiently large initial kinetic energy. Upon interacting with each other they are strongly affected by the perturbation, lose energy by radiating, and can end in a bound state having the character of a distorted breather.},

  doi          = {10.1103/PhysRevA.45.R5369},

  url          = {https://www.osti.gov/biblio/7114302},
  journal      = {Physical Review A. General Physics; (United States)},

  issn         = {1050-2947},

  number       = ,

  volume       = 45:8,

  place        = {United States},

  year         = {1992},

  month        = {4}

}

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