4 papers
Quasi-continuum approximation to the Nonlinear Schrödinger equation with Long-range dispersions
Alain M. Dikandé
The long-wavelength, weak-dispersion limit of the discrete nonlinear Schrödinger equation with long-range dispersion is analytically considered. This continuum approximation is car…
Nonlinear optical responses and gap-soliton lattices in layered dielectric materials
Alain M. Dikandé, Timoléon C. Kofané
A new approach to the nonlinear reponse of a multiplayer structure consisting of alternating dielectric materials with intensity-dependent dielectric constants is considered in bot…
Long-range dispersion and spatial diffusion of fault waves in the Burridge-Knopoff earthquake model
Alain M. Dikandé
The Burridge-Knopoff model of earthquakes has recently gained increased interest for the consistency of the predicted energy released by sismic faults, with the Gutenberg-Richter s…
Nonlinear coherent wavetrains and bifurcations in a class of deformable models for one-dimensional nonlinear discrete Klein-Gordon systems
Alain M. Dikande
The discrete static properties of a class of deformable double-well potential models are investigated. The Peierls-stress potential of the models is explicitely given. Numerical an…