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原文連結
論文資訊
- 類型：已發表論文
- 日期：2017-09-29
摘要
We discuss the stability properties of the solutions of the general 非線性 Schrodinger equation in 1 + 1 dimensions in an external potential derivable from a parity-time (PT) symmetric superpotential W(x) that we considered earlier in 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)-V(x)+g vertical bar psi(x, t)vertical bar(2 kappa)}psi(x, t) = 0, for arbitrary 非線性ity parameter kappa, where g = +/- 1 and V is the well known PoschlTeller potential which we allow to be repulsive as well as attractive. Using energy landscape methods, linear stability analysis as well as a time dependent variational approximation, we derive consistent analytic results for the domains of instability o
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