TY - JOUR

T1 - Persistence of rogue waves in extended nonlinear Schrödinger equations

T2 - Integrable Sasa-Satsuma case

AU - Bandelow, U.

AU - Akhmediev, N.

PY - 2012/4/2

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.

UR - http://www.scopus.com/inward/record.url?scp=84859540586&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2012.03.032

DO - 10.1016/j.physleta.2012.03.032

M3 - Article

SN - 0375-9601

VL - 376

SP - 1558

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 -