TY - GEN A1 - Bandelow, Uwe A1 - Akhmediev, Nail T1 - Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa-Satsuma case 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 Peregrine solution appears when the extension parameter of the SSE is reduced to zero. KW - Generalized nonlinear Schrödinger equations KW - Sasa-Satsuma equation KW - solitons KW - rogue waves Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1128 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-11289 ER -