聖塔非研究所

摘要 The damped and parametrically driven 非線性 Dirac eq

2019-12-11 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 The damped and parametrically driven 非線性 Dirac equation with arbitrary 非線性ity parameter κ is analyzed, when the external force is periodic in space and given by f (x) = r cos(Kx), both nu…

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  • 類型:已發表論文
  • 日期:2019-12-11

摘要

The damped and parametrically driven 非線性 Dirac equation with arbitrary 非線性ity parameter κ is analyzed, when the external force is periodic in space and given by f (x) = r cos(Kx), both numerically and in a variational approximation using five collective coordinates (time dependent shape parameters of the wave function). Our variational approximation satisfies exactly the low-order moment equations. Because of competition between the spatial period of the external force λ = 2π/K , and the soliton width ls, which is a function of the 非線性ity κ as well as the initial frequency ω0 of the solitary wave, there is a transition (at fixed ω0) from trapped to unbound behavior of the soliton, which depends on the parameters r and K of the external force and the 非線性ity parameter κ. We previously studie

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