TY - JOUR
T1 - Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics
AU - Devine, N.
AU - Ankiewicz, A.
AU - Genty, G.
AU - Dudley, J. M.
AU - Akhmediev, N.
PY - 2011/11/7
Y1 - 2011/11/7
N2 - We show that the dynamics of Fermi-Pasta-Ulam recurrence is associated with a nonlinear phase shift between initial and final states that are otherwise identical, after a full growth-return cycle. The properties of this phase shift are studied for the particular case of the self-focussing nonlinear Schrödinger equation, and we describe the magnitude of the phase shift in terms of the system parameters. This phase shift, accumulated during the nonlinear recurrence cycle, is a previously-unremarked feature of the Fermi-Pasta-Ulam problem, and we anticipate its wide significance as an essential feature of related dynamics in other systems.
AB - We show that the dynamics of Fermi-Pasta-Ulam recurrence is associated with a nonlinear phase shift between initial and final states that are otherwise identical, after a full growth-return cycle. The properties of this phase shift are studied for the particular case of the self-focussing nonlinear Schrödinger equation, and we describe the magnitude of the phase shift in terms of the system parameters. This phase shift, accumulated during the nonlinear recurrence cycle, is a previously-unremarked feature of the Fermi-Pasta-Ulam problem, and we anticipate its wide significance as an essential feature of related dynamics in other systems.
UR - http://www.scopus.com/inward/record.url?scp=80054699850&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2011.10.006
DO - 10.1016/j.physleta.2011.10.006
M3 - Article
SN - 0375-9601
VL - 375
SP - 4158
EP - 4161
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 46
ER -