2006/10/31 by M. Arabsalmani, Maryam Arabsalmani, A. Aghamohammadi +1 · 3 citations
Mathematics · Physics and Astronomy · #Nonlinear Photonic Systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2007-00069-7
published as Eur. Phys. J. B55, (2007) 439-446 · 17 pages, LaTeX2e, minor revision
openalex publication_date 2007/02/01 · arxiv created 2007/03/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
It is shown, concerning equivalent classes, that on a one-dimensional lattice with nearest neighbor interaction, there are only four independent models possessing double-shocks. Evolution of the width of the double-shocks in different models is investigated. Double-shocks may vanish, and the final state is a state with no shock. There is a model for which at large times the average width of double-shocks will become smaller. Although there may exist stationary single-shocks in nearest neighbor reaction diffusion models, it is seen that in none of these models, there exist any stationary double-shocks. Models admitting multi-shocks are classified, and the large time behavior of multi-shock solutions is also investigated.