Sasa-Satsuma hierarchy of integrable evolution equations
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Bandelow, U.; Ankiewicz, Adrian; Amiranashvili, S.; Akhmediev, Nail
Description
We present the infinite hierarchy of Sasa-Satsuma evolution equations. The corresponding Lax pairs are given, thus proving its integrability. The lowest order member of this hierarchy is the nonlinear Schrödinger equation, while the next one is the Sasa-Satsuma equation that includes third-order terms. Up to sixth-order terms of the hierarchy are given in explicit form, while the provided recurrence relation allows one to explicitly write all higher-order terms. The whole hierarchy can be...[Show more]
Collections | ANU Research Publications |
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Date published: | 2018-05-17 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/204307 |
Source: | Chaos An Interdisciplinary Journal of Nonlinear Science |
DOI: | 10.1063/1.5030604 |
Access Rights: | Open Access |
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01_Bandelow_Sasa-Satsuma_hierarchy_of_2018.pdf | 292.69 kB | Adobe PDF |
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