2008/03/05 by I. V. Barashenkov, Barashenkov, I. V., T. C. van Heerden +1
Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)
paper · pdf · doi:10.48550/arxiv.0803.0603
openalex publication_date 2008/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, the method of one-dimensional maps was introduced as a means of generating exceptional discretisations of the ϕ4-theories, i.e., discrete ϕ4-models which support kinks centred at a continuous range of positions relative to the lattice. In this paper, we employ this method to obtain exceptional discretisations of the sine-Gordon equation (i.e. exceptional Frenkel-Kontorova chains). We also use one-dimensional maps to construct a discrete sine-Gordon equation supporting kinks moving with arbitrary velocities without emitting radiation.