Soliton collisions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber

DOI10.1016/j.aml.2018.01.003zbMath1394.35491OpenAlexW2783782676MaRDI QIDQ1748598

Ze-Hui Yan, Xi-Yang Xie

Publication date: 11 May 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.01.003

zbMATH Keywords

optical fiberKundu-Eckhaus equation with variable coefficientssoliton collisionsBright soliton solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08) Maxwell equations (35Q61)

Related Items (7)

Localized waves for the mixed coupled Hirota equations in an optical fiber ⋮ A \(\overline{\partial } \)-dressing method for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation ⋮ A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation ⋮ Breather-like solitons, rogue waves, quasi-periodic/chaotic states for the surface elevation of water waves ⋮ Optical breathers and rogue waves via the modulation instability for a higher-order generalized nonlinear Schrödinger equation in an optical fiber transmission system ⋮ Bilinear Forms and Dark-Dark Solitons for the Coupled Cubic-Quintic Nonlinear Schrödinger Equations with Variable Coefficients in a Twin-Core Optical Fiber or Non-Kerr Medium* ⋮ Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber

Cites Work

• Unnamed Item
• Rogue-wave solutions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber
• Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus-Kundu equation with the cubic-quintic nonlinearity
• Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber
• Dynamic behaviors for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a non-Kerr medium
• Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
• The Kundu–Eckhaus equation and its discretizations
• Exact solutions of the multidimensional derivative nonlinear Schrodinger equation for many-body systems of criticality
• On the modulation of water waves in the neighbourhood of kh ≈ 1.363
• Superregular breathers in a complex modified Korteweg-de Vries system

This page was built for publication: Soliton collisions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber