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 -