Paper Info
Title
Intrinsic localized modes in a three particle Fermi-Pasta-Ulam lattice with on-site harmonic potential
Abstract
In this paper, a ring of three particle Fermi-Pasta-Ulam lattice with on-site harmonic potential is investigated for the study of intrinsic localized modes (ILMs). In spite of the fact that the integrability of this three particle system has been approved in the absence of cubic interaction and on-site potentials, we show the system remains integrable even in the presence of the on-site harmonic potential. Moreover, we find exact periodic solutions in the form of Jacobi elliptic function, and clarify their correspondences to both stationary and moving ILMs. The dynamics of the system with the inclusion of the cubic term is also explored numerically.
Year
DOI
Venue
2007
10.1016/j.matcom.2006.10.023
Mathematics and Computers in Simulation
Keywords
Field
DocType
on-site potential,fermi–pasta–ulam- β lattice,on-site harmonic potential,exact periodic solution,movability,integrability of the hamiltonian system,cubic term,intrinsic localized modes,jacobi elliptic function,particle fermi-pasta-ulam lattice,particle system,intrinsic localized mode,cubic interaction,jacobi elliptic functions,hamiltonian system
Fermi Gamma-ray Space Telescope,Integrable system,Elliptic function,Particle system,Lattice (order),Mathematical analysis,Quantum mechanics,Harmonic,Classical mechanics,Periodic graph (geometry),Particle,Physics
Journal
Volume
Issue
ISSN
74
4-5
Mathematics and Computers in Simulation
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Bao-Feng Feng142.66
Youn-Sha Chan201.01