聖塔非研究所

摘要 We obtain exact solitary wave solutions of a vari

2018-09-17 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We obtain exact solitary wave solutions of a variant of the generalized derivative 非線性 Schrodinger equation in 1+1 dimensions with arbitrary values of the 非線性ity parameter kappa in a Scar…

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  • 類型:已發表論文
  • 日期:2018-09-17

摘要

We obtain exact solitary wave solutions of a variant of the generalized derivative 非線性 Schrodinger equation in 1+1 dimensions with arbitrary values of the 非線性ity parameter kappa in a Scarf-II potential. This variant of the usual derivative 非線性 Schrodinger equation has the properties that for real external potentials, the dynamics is derivable from a Lagrangian. The solitary wave and trapped solutions have the same form as those of the usual derivative 非線性 Schrodinger equation. We show that the solitary wave solutions are orbitally stable for kappa <= 1. We find new exact nodeless solutions to the bound states in the external complex potential which are related to the static solutions of the equation. We also use a collective coordinate approximation to analyze the stability of the trapped

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