Decay to bound states of a soliton in a well

1999/12/16 by G. Kälbermann, Kälbermann, G.
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #hep-ph #hep-th #math-ph #math.MP #nucl-th #quant-ph

paper · pdf · doi:10.48550/arxiv.math-ph/9912013

Latex format, 5 figures

arxiv created 1999/12/16 · openalex publication_date 1999/12/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The decay of a soliton in a trapped state inside a well is shown numerically. Bound states of a kink in an attractive well, both centered and off center are found. Their stability is studied. Unstable soliton solutions inside a repulsive barrier are also found.

Related

• Trapped States and bound states of a soliton in a well
• Trapping of a model-system for a soliton in a well
• Soliton in a Well. Dynamics and Tunneling
• Bound states of spatial optical dark/gray solitons in nonlocal media
• Relaxation of Solitons in Nonlinear Schrodinger Equations with Potential