2014/03/27 by Lasha Tkeshelashvili, Tkeshelashvili, Lasha
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Nonlinear Photonic Systems #Other Condensed Matter (cond-mat.other) #Pattern Formation and Solitons (nlin.PS) #Photonic and Optical Devices
paper · pdf · doi:10.48550/arxiv.1403.7030
openalex publication_date 2014/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The sine-Gordon equation exhibits a gap in its linear spectrum. That gives rise to memory, or non-Markovian, effects in the soliton formation processes. The generalized variational approach is suggested to derive the model equation that governs the solitary wave evolution. The detailed analytical and numerical studies show that the soliton relaxation dynamics exhibits the main specific features of quantum emitters decay processes in photonic band gap materials. In particular, the non-Markovian effects lead to the extremely long-lived oscillations of the sine-Gordon solitons. That results in the bound state of the soliton with the radiated linear waves.