1997/08/14 by Vladimir S. Gerdjikov, V. S. Gerdjikov, Evstati Evstatiev +11 · 1 citation
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Optical Network Technologies #Pattern Formation and Solitons (nlin.PS) #Photonic Crystal and Fiber Optics #nlin.PS #nlin.SI #patt-sol #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9708004
14 pages, LaTeX (revtex style), 5 figures
arxiv created 1997/08/14 · openalex publication_date 1997/08/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the complex Toda chain (CTC) as a model for the propagation of the N-soliton pulse trains of the nonlinear Schrodinger (NLS) equation, we predict the asymptotic behavior of these trains. The following asymptotic regimes are stable: (i)~asymptotically free propagation of all N solitons; (ii)~bound state regime where the N solitons may move quasi-equidistantly (QED); and (iii)~various different combinations of (i) and (ii). For N=2 and 3 we determine analytically the set of initial soliton parameters corresponding to each of these regimes. We find excellent agreement between the solutions of CTC and NLS for all regimes and propose realistic choices for the sets of amplitudes, for which the solitons propagate QED to very large run lengths. This is of importance for optical fiber communication.