1995
DOI: 10.1016/0375-9601(95)00611-6
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Soliton-defect collisions in the nonlinear Schrödinger equation

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Cited by 118 publications
(111 citation statements)
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“…[23][24][25][26]30,31]). Furthermore, it would be interesting to study similar problems but for impurities that have spatial scales larger than the ones of the soliton, and investigate possible changes in the stability and dynamics.…”
Section: Discussionmentioning
confidence: 99%
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“…[23][24][25][26]30,31]). Furthermore, it would be interesting to study similar problems but for impurities that have spatial scales larger than the ones of the soliton, and investigate possible changes in the stability and dynamics.…”
Section: Discussionmentioning
confidence: 99%
“…The possibility of existence of one or three fixed points can also be understood by simplifying the equation of motion (24). First, we Taylor-expand V eff (X 0 ) in Eq.…”
Section: The Effective Potential and Forcesmentioning
confidence: 99%
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“…(2) was studied previously by several authors. In [6,22,[25][26][27]40,41], the phenomenon of soliton scattering by the effect of the defect was observed, namely, interactions between the defect and the homogeneous medium soliton. For example, varying amplitude and velocity of the soliton, they studied how the defect is separating the soliton into two parts: one part is transmitted past the defect, the other one is captured at the defect.…”
Section: Introductionmentioning
confidence: 99%
“…Within the mean field description, the dynamics of NLSE bright soliton collisions with potential barriers and wells has been widely explored (see, e.g., [65,[111][112][113][114] and Refs. therein).…”
Section: Splitting Solitary Waves At a Potential Barriermentioning
confidence: 99%