Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa-Satsuma case

U. Bandelow; N. Akhmediev

doi:10.1016/j.physleta.2012.03.032

Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa-Satsuma case

U. Bandelow^*, N. Akhmediev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

120 Citations (Scopus)

Abstract

We present the lowest order rogue wave solution of the Sasa-Satsuma equation (SSE) which is one of the integrable extensions of the nonlinear Schrödinger equation (NLSE). In contrast to the Peregrine solution of the NLSE, it is significantly more involved and contains polynomials of fourth order rather than second order in the corresponding expressions. The correct limiting case of the Peregrine solution appears when the extension parameter of the SSE is reduced to zero.

Original language	English
Pages (from-to)	1558-1561
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	376
Issue number	18
DOIs	https://doi.org/10.1016/j.physleta.2012.03.032
Publication status	Published - 2 Apr 2012

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10.1016/j.physleta.2012.03.032

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title = "Persistence of rogue waves in extended nonlinear Schr{\"o}dinger equations: Integrable Sasa-Satsuma case",

abstract = "We present the lowest order rogue wave solution of the Sasa-Satsuma equation (SSE) which is one of the integrable extensions of the nonlinear Schr{\"o}dinger equation (NLSE). In contrast to the Peregrine solution of the NLSE, it is significantly more involved and contains polynomials of fourth order rather than second order in the corresponding expressions. The correct limiting case of the Peregrine solution appears when the extension parameter of the SSE is reduced to zero.",

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AU - Bandelow, U.

AU - Akhmediev, N.

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Y1 - 2012/4/2

N2 - We present the lowest order rogue wave solution of the Sasa-Satsuma equation (SSE) which is one of the integrable extensions of the nonlinear Schrödinger equation (NLSE). In contrast to the Peregrine solution of the NLSE, it is significantly more involved and contains polynomials of fourth order rather than second order in the corresponding expressions. The correct limiting case of the Peregrine solution appears when the extension parameter of the SSE is reduced to zero.

AB - We present the lowest order rogue wave solution of the Sasa-Satsuma equation (SSE) which is one of the integrable extensions of the nonlinear Schrödinger equation (NLSE). In contrast to the Peregrine solution of the NLSE, it is significantly more involved and contains polynomials of fourth order rather than second order in the corresponding expressions. The correct limiting case of the Peregrine solution appears when the extension parameter of the SSE is reduced to zero.

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U2 - 10.1016/j.physleta.2012.03.032

DO - 10.1016/j.physleta.2012.03.032

M3 - Article

SN - 0375-9601

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EP - 1561

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 18

ER -

Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa-Satsuma case

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