摘要 This work focuses on the study of solitary wave s

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論文資訊

• 類型：已發表論文
• 日期：2021

摘要

This work focuses on the study of solitary wave solutions to a nonlocal, 非線性 Schrodinger system in 1+1 dimensions with arbitrary 非線性ity parameter K. Although the system we study here was first reported by Yang (Phys. Rev. E, 98 (2018), 042202) for the fully integrable case K = 1, we extend its considerations and offer criteria for soliton stability and instability as a function of K . In particular, we show that for K < 2 the solutions are stable whereas for K > 2 they are subject to collapse or blowup. At the critical point of K = 2, there is a critical mass necessary for blowup or collapse. Furthermore, we show there is a simple one-component nonlocal Lagrangian governing the dynamics of the system which is amenable to a collective coordinate approximation. To that end, we introduce a t

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