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原文連結
論文資訊
- 類型：已發表論文
- 日期：2014-09-17
摘要
We consider the 非線性 Dirac equation in 1+ 1 dimension with scalar- scalar self interaction g(2)/k+1((Psi) over bar Psi)(k+1) and with mass m. Using the exact analytic form for rest frame solitary waves of the form Psi(x, t) = psi(x)e(-lwt) for arbitrary k, we discuss the validity of various approaches to understanding stability that were successful for the 非線性 Schrodinger equation. In particular we study the validity of a version of Derrick's theorem and the criterion of Bogolubsky as well as the Vakhitov-Kolokolov criterion, and find that these criteria yield inconsistent results. Therefore, we study the stability by numerical simulations using a recently developed fourth-order operator splitting integration method. For different ranges of k we map out the stability regimes in omega. We fi
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