Journal
PHYSICAL REVIEW LETTERS
Volume 111, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.111.054101
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Funding
- Russian Federation Government Grant [11.G34.31.0035]
- RFBR Grant [12-01-00943-a]
- Program Fundamental problems of nonlinear dynamics in mathematical and physical sciences'' from the RAS Presidium
- Leading Scientific Schools of Russia [6170.2012.2]
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We study the nonlinear stage of the modulation instability of a condensate in the framework of the focusing nonlinear Schrodinger equation (NLSE). We find a general N-solitonic solution of the focusing NLSE in the presence of a condensate by using the dressing method. We separate a special designated class of regular solitonic solutions'' that do not disturb phases of the condensate at infinity by coordinate. All regular solitonic solutions can be treated as localized perturbations of the condensate. We find an important class of superregular solitonic solutions'' which are small perturbations at a certain moment of time. They describe the nonlinear stage of the modulation instability of the condensate.
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