聖塔非研究所

摘要 We discuss the effect of small perturbation on no

2017-09-19 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We discuss the effect of small perturbation on nodeless solutions of the 非線性 Schrodinger equation in 1 + 1 dimensions in an external complex potential derivable from a parity time symmetr…

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  • 類型:已發表論文
  • 日期:2017-09-19

摘要

We discuss the effect of small perturbation on nodeless solutions of the 非線性 Schrodinger equation in 1 + 1 dimensions in an external complex potential derivable from a parity-time symmetric superpotential that was considered earlier (Kevrekidis et al 2015 Phys. Rev. E 92 042901). In particular, we consider the 非線性 partial differential equation {i partial derivative(t) + partial derivative(2)(x) + g vertical bar psi(x, t)vertical bar(2) - V+(x)} psi(x, t) = 0, where V+(x) = (-b(2) - m(2) + 1/4) sech(2)(x) - 2imb sech(x) tanh(x) represents the complex potential. Here, we study the perturbations as a function of b and m using a variational approximation based on a dissipation functional formalism. We compare the result of this variational approach with direct numerical simulation of the equat

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