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 -