Radiation From a Sine-Gordon Soliton Propagating in an External Potential

1999/04/30 by A. Calogeracos, Calogeracos, A
Physics and Astronomy · #Advanced Fiber Laser Technologies #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Mechanical and Optical Resonators

paper · pdf · doi:10.48550/arxiv.cond-mat/9904442

openalex publication_date 1999/04/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The interaction of a fast moving sine-Gordon soliton with an external periodic potential is examined. The resulting equation of motion for the collective coordinate representing the position of the soliton is given in relativistic form. We examine the radiation emitted due to the interaction of the soliton with the potential and we calculate the potential dependent part of the time evolution equation for the creation and annihilation operators for fluctuations.

Related

• Interaction of double sine-Gordon solitons with external potentials: an analytical model
• Radiation pressure in the Coupled Nonlinear Schr "odinger Equation\n exerted on the solitons
• Relativistic particle-like structures associated with multi-soliton solutions of (1+2)-dimensional Sine-Gordon equation
• Fluid Dynamical Description of Sine-Gordon Solitons
• Exact Solution of the Sine-Gordon Equation for Multiple Collisions of Solitons