6533b855fe1ef96bd12b0903
RESEARCH PRODUCT
Multiparticle breathers for a chain with double-quadratic on-site potential
S. NeusüßRolf Schillingsubject
PhysicsQuadratic equationGroup (mathematics)BreatherQuantum mechanicsSpectrum (functional analysis)Zero (complex analysis)Type (model theory)Nonlinear Sciences::Pattern Formation and SolitonsOmegak-nearest neighbors algorithmdescription
We investigate the existence and properties of multiparticle breathers for a one-dimensional model with harmonic nearest neighbor interactions where a group of r particles $(r=1,2,3,\dots{})$ perform interwell oscillations between both wells of a double-quadratic on-site potiential. We find two types of such breathers. For the first type the breather frequency $\ensuremath{\Omega}$ is within the single-particle oscillator spectrum, and the ``residence'' time of each breather particle in the left and right well is about the same. For the second breather $\ensuremath{\Omega}$ is below that spectrum, and the ratio ${\ensuremath{\tau}}_{L}/{\ensuremath{\tau}}_{R}$ of the residence time in the left and right wells is different from zero, and takes approximately rational values like $\frac{1}{4},\frac{1}{3},\frac{2}{3},\frac{3}{4},$ etc. This second type of breather occurs for two and more breather particles only.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-11-01 | Physical Review E |