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論文資訊
- 類型：已發表論文
- 日期：2021-09-13
摘要
This work focuses on the study of the stability of trapped soliton-like solutions of a (1+1)-dimensional 非線性 Schr¨odinger equation (NLSE) in a nonlocal, 非線性, self-interaction potential of the form [ |ψ(x, t)|2 +|ψ(−x, t)|2] κ where κ is an arbitrary 非線性ity parameter. Although the system with κ = 1 (i.e., fully integrable case) was first reported by Yang (Phys. Rev. E 98 (2018) 042202), in the present work, we extend this model to the one in which κ is arbitrary. This allows us to compare the stability properties of the now trapped solutions to previously found solutions of the more usual NLSE with κ 6= 1 which are moving soliton solutions. We show that there is a simple, one-component, nonlocal Lagrangian and corresponding action governing the dynamics of the system. Using a collective coo
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