Work

Nonlinear Stage of Modulation Instability

Year: 2013

Type: article

Abstract: We study the nonlinear stage of the modulation instability of a condensate in the framework of the focusing nonlinear Schrödinger 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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.111.054101

Authors: V. E. Zakharov, A. A. Gelash

Institutions: P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Russian Academy of Sciences, University of Arizona, Novosibirsk State University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1545160759

FWCI: 16.02

Cites: 18

Cited by: 295

Related to: 10