Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa-Satsuma case
Please always quote using this URN:urn:nbn:de:0296-matheon-11289
- 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.
Author: | Uwe Bandelow, Nail Akhmediev |
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URN: | urn:nbn:de:0296-matheon-11289 |
Referee: | Alexander Mielke |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2012/04/25 |
Release Date: | 2012/04/25 |
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Institute: | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Qxx Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] / 35Q55 NLS-like equations (nonlinear Schrödinger) [See also 37K10] |
Preprint Number: | 953 |