聖塔非研究所

摘要 We discuss the behavior of solitary wave solution

2016-09-15 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We discuss the behavior of solitary wave solutions of the 非線性 Schrodinger equation (NLSE) as they interact with complex potentials, using a four parameter variational approximation based …

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  • 類型:已發表論文
  • 日期:2016-09-15

摘要

We discuss the behavior of solitary wave solutions of the 非線性 Schrodinger equation (NLSE) as they interact with complex potentials, using a four-parameter variational approximation based on a dissipation functional formulation of the dynamics. We concentrate on spatially periodic potentials with the periods of the real and imaginary part being either the same or different. Our results for the time 演化 of the collective coordinates of our variational ansatz are in good agreement with direct numerical simulation of the NLSE. We compare our method with a collective coordinate approach of Kominis and give examples where the two methods give qualitatively different answers. In our variational approach, we are able to give analytic results for the small oscillation frequency of the solitary wave

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