Binary Darboux transformation for the Sasa-Satsuma equation

被引：57

作者：

Nimmo, Jonathan J. C. ^{[1
]}

Yilmaz, Halis ^{[1
,2
]}

机构：

[1] Univ Glasgow, Sch Math & Stat, Glasgow G12 8QW, Lanark, Scotland

[2] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkey

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 42期

关键词：

Sasa-Satsuma equation; binary Darboux transformation; quasideterminants; NONLINEAR SCHRODINGER-EQUATION; DISPERSIVE DIELECTRIC FIBERS; SOLITON-SOLUTIONS; OPTICAL PULSES; TRANSMISSION; PROPAGATION; WAVES; DARK;

D O I：

10.1088/1751-8113/48/42/425202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Sasa-Satsuma equation is an integrable higher-order nonlinear Schrodinger (NLS) equation. Higher-order and multicomponent generalizations of the NLS equation are important in various applications, e.g., in optics. One of these equations is the Sasa-Satsuma equation. We present the binary Darboux transformations (BDTs) for the Sasa-Satsuma equation and then construct its quasigrammians solutions by iterating its BDTs. Single-hump, double-hump, breather and resonant two-solitons solutions are given as explicit examples.

引用

页数：16

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