Search results for "Atomic Chain"

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Behavior of gap solitons in anharmonic lattices

2017

International audience; Using the theory of bifurcation, we provide and find gap soliton dynamics in a nonlinear Klein-Gordon model with anharmonic, cubic, and quartic interactions immersed in a parametrized on-site substrate potential. The case of a deformable substrate potential allows theoretical adaptation of the model to various physical situations. Nonconvex interactions in lattice systems lead to a number of interesting phenomena that cannot be produced with linear coupling alone. By investigating the dynamical behavior and bifurcations of solutions of the planar dynamical systems, we derive a variety of exotic solutions corresponding to the phase trajectories under different paramet…

Dynamical systems theory[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]01 natural sciencesFrenkel-Kontorova Model010305 fluids & plasmasPlanar[PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph]Quartic functionLattice (order)Dimensional Diatomic Lattice0103 physical sciences[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]010306 general physicsBifurcationPhysicsAnharmonicity[ PHYS.MECA.MEFL ] Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph]Systems[ PHYS.PHYS.PHYS-PLASM-PH ] Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph]Nonlinear systemBreathersClassical mechanics[ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]SolitonDefectAtomic ChainPotentials
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