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原文連結
論文資訊
- 類型：已發表論文
- 日期：2016
摘要
We discuss the stability properties of the solutions of the general 非線性 Schroedinger equation (NLSE) in 1+1 dimensions in an external potential derivable from a parity-time (PT) symmetric superpotential $W(x)$ that we considered earlier [Kevrekedis et al Phys. Rev. E 92, 042901 (2015)]. In particular we consider the 非線性 partial differential equation ${ i \partial_t + \partial_x^2 - V^{-}(x) +| \psi(x,t) |^{2\kappa} } , \psi(x,t) = 0$, for arbitrary 非線性ity parameter $\kappa$. We study the bound state solutions when $V^{-}(x) = (1/4- b^2)$ sech$^2(x)$, which can be derived from two different superpotentials $W(x)$, one of which is complex and $PT$ symmetric. Using Derrick's theorem, as well as a time dependent variational approximation, we derive exact analytic results for the domain of s
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