Analytic soliton solutions of cubic‐quintic Ginzburg‐Landau equation with variable nonlinearity and spectral filtering in fiber lasers

DOI10.1002/andp.201500322zbMath1348.78022OpenAlexW2266527478MaRDI QIDQ5741643

Long-Gang Huang, Li-Hui Pang, Shao-Yi Bai, Pring Wong, Wen-Jun Liu, Ming Lei, Yan-Qing Li

Publication date: 29 July 2016

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/andp.201500322

zbMATH Keywords

similarity transformationspectral filteringcubic-quintic complex Ginzburg-Landau equationmodified Hirota methodsoliton control

Mathematics Subject Classification ID

Related Items (4)

Tunneling effects of the nonautonomous rogue waves for the coupled higher-order nonlinear Schrödinger equations ⋮ Resonance, fusion and fission dynamics of bifurcation solitons and hybrid rogue wave structures of Sawada-Kotera equation ⋮ Novel bifurcation solitons for an extended Kadomtsev-Petviashvili equation in fluids ⋮ Stable transmission of solitons in the complex cubic-quintic Ginzburg-Landau equation with nonlinear gain and higher-order effects

Cites Work

• Solitons in elastic solids (1938--2010)
• Superposed Akhmediev breather of the \({(3+1)}\)-dimensional generalized nonlinear Schrödinger equation with external potentials
• Exact solutions of the one-dimensional quintic complex Ginzburg-Landau equation
• \(N\)-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation
• Exploding soliton and front solutions of the complex cubic-quintic Ginzburg-Landau equation
• Quantum breathers in Heisenberg ferromagnetic chains with Dzyaloshinsky-Moriya interaction
• Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: Application to Bose-Einstein condensates with multi-body interatomic interactions
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• The world of the complex Ginzburg-Landau equation
• A collective variable approach and stabilization for dispersion-managed optical solitons in the quintic complex Ginzburg–Landau equation as perturbations of the nonlinear Schrödinger equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Nonlinear Schrödinger equation including growth and damping
• Pattern formation outside of equilibrium

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