Dynamic patterns of high-order rogue waves for Sasa-Satsuma equation (Q282015)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Dynamic patterns of high-order rogue waves for Sasa-Satsuma equation |
scientific article; zbMATH DE number 6579460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamic patterns of high-order rogue waves for Sasa-Satsuma equation |
scientific article; zbMATH DE number 6579460 |
Statements
Dynamic patterns of high-order rogue waves for Sasa-Satsuma equation (English)
0 references
11 May 2016
0 references
integrable NLS-type equations
0 references
dressing transformation
0 references
breathers
0 references
inverse scattering transform
0 references
Bloch functions
0 references
Schur polynomial
0 references
0 references
0 references
0 references
0 references
0.9456166
0 references
0.9265995
0 references
0.92449486
0 references
0.92100036
0 references
0.91054547
0 references
0.9086678
0 references
0.9072053
0 references
0.9064735
0 references
The paper aims to produce generalized higher-order rational and semi-rational solutions to the Sasa-Satsuma equation, which is an integrable extension of the nonlinear Schrödinger equation for a complex functions \(q(x,t)\): NEWLINE\[NEWLINEiq_t -q_{xx} - 2| q|^2q + i[6(| q|^2q)_x -3(| q|^2)_xq +q_{xxx}] = 0.NEWLINE\]NEWLINE By means of a modified dressing method, higher-order mixed rational-breather solutions are constructed via finding the respective Bloch (alias Jost) functions, in terms of the respective inverse scattering transform, and the related Schur polynomials. Under special conditions imposed on parameters, the mixed solutions go over into purely rational ones, which represent higher-order rogues waves.
0 references
