6533b85cfe1ef96bd12bd190

RESEARCH PRODUCT

Long-range effects on the periodic deformable sine-Gordon chains

Timoléon C. KofanéTimoléon C. KofanéDavid Yemélé

subject

PhysicsLattice dynamicsLattice (order)General Materials ScienceStatistical physicsSineSolitonCondensed Matter PhysicsCritical valueNonlinear Sciences::Pattern Formation and SolitonsShape parameter

description

The model of long-range interatomic interactions is found to reveal a number of new features, closely connected with the substrate potential shape parameter s. The phase trajectories, as well as an analytical analysis, provide information on a disintegration of solitons upon reaching some critical values of the lattice parameters. An implicit form for two classes of these topological solitons (kink) is calculated exactly.

https://doi.org/10.1088/0953-8984/11/11/001