Effective Hamiltonian for traveling discrete breathers in the FPU chain

Details Effective Hamiltonian for traveling discrete breathers in the FPU chain Effective Hamiltonian for traveling discrete breathers in the FPU chain

2003-10-19

arxiv.org/abs/nlin/0310027v3

Discrete and Continuous Dynamical Systems B 5, 719-734 (2005)

Nonlinear Sciences

Pattern Formation and Solitons

15 pages, 4 figures

Scientific paper

For the Fermi-Pasta-Ulam chain, an effective Hamiltonian is constructed, describing the motion of approximate, weakly localized discrete breathers traveling along the chain. The velocity of these moving and localized vibrations can be estimated analytically as the group velocity of the corresponding wave packet. The Peierls-Nabarro barrier is estimated for strongly localized discrete breathers.

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