Binary Darboux Transformation for the Sasa-Satsuma Equation

Abstract

The Sasa-Satsuma equation is an integrable higher-order nonlinear Schrödinger equation. Higher-order and multicomponent generalisations of the nonlinear Schrödinger 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 for the Sasa-Satsuma equation and then construct its quasigrammians solutions by iterating its binary Darboux transformations. Periodic, one-soliton, two-solitons and breather solutions are given as explicit examples.

18 pages, 5 figures

References in corpus (5)

• Squared Eigenfunctions for the Sasa-Satsuma Equation
• Anti-dark and Mexican-hat solitons in the Sasa-Satsuma equation on the continuous wave background
• Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
• On Darboux transformations for the derivative nonlinear Schrödinger equation
• Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System

Cited by in corpus (4)

• Nondegenerate solitons in the integrable fractional coupled Hirota equation
• The nonlinear steepest descent approach for long time behavior of the two-component coupled Sasa-Satsuma equation with a $5\times 5$ Lax pair
• Darboux transformation and soliton solutions of the generalized Sasa-Satsuma equation
• Darboux Transformation for the Hirota equation