6533b837fe1ef96bd12a31fe

RESEARCH PRODUCT

Breathing solitary waves in a Sine-Gordon two-dimensional lattice.

M. RemoissenetJoël PougetJ. M. Tamga

subject

PhysicsNonlinear systemModulational instabilityWavelengthAmplitudeClassical mechanicsCondensed matter physicsLattice (order)Plane waveGeneral Physics and AstronomySineInstabilityLongitudinal wave

description

We study theoretically and numerically the dynamical behavior of a two-dimensional sine-Gordon lattice. We show that, via modulational instability, an initial-low-amplitude plane wave can evolve spontaneously into moving localized modes with large amplitude. These nonlinear modes, with dimensions depending on the characteristic wavelengths of the instability, behave like breathing solitary waves and present particlelike properties.

10.1103/physrevlett.75.357https://pubmed.ncbi.nlm.nih.gov/10060001