Nonlinear Stage of Modulation Instability

被引:224
|
作者
Zakharov, V. E. [1 ,2 ,3 ]
Gelash, A. A. [2 ]
机构
[1] Univ Arizona, Tucson, AZ 85721 USA
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
[3] Russian Acad Sci, PN Lebedev Phys Inst, Moscow 119991, Russia
关键词
SCHRODINGER-EQUATION; PEREGRINE SOLITON; WAVE SOLUTIONS; WATER; FIBER;
D O I
10.1103/PhysRevLett.111.054101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
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页数:5
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