Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion

Nonlinear differential–difference equations and Fourier analysis

Mark J. Ablowitz, J. F. Ladik · Journal of Mathematical Physics · 1976 · 990 citations

Natural Sciences, Mathematics, Physics +17

A Nonlinear Difference Scheme and Inverse Scattering

Mark J. Ablowitz, J. F. Ladik · Studies in Applied Mathematics · 1976 · 517 citations

Natural Sciences, Mathematics, Physics +17

Wave transmission in nonlinear lattices

D. Hennig, G. P. Tsironis · Physics Reports · 1999 · 451 citations

Natural Sciences, Physics, Condensed Matter Physics +11

Observation of nonlinear localized modes in an electrical lattice

P. Marquié, Jean‐Marie Bilbault, M. Remoissenet · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1995 · 275 citations

Natural Sciences, Physics, Condensed Matter Physics +13

Discrete rogue waves of the Ablowitz-Ladik and Hirota equations

Adrian Ankiewicz, Nail Akhmediev, J. M. Soto‐Crespo · Physical Review E · 2010 · 195 citations · Full text

Natural Sciences, Mathematics, Physics +15