General \(N\)-dark vector soliton solution for multi-component defocusing Hirota system in optical fiber media

DOI10.1016/j.cnsns.2017.03.019zbMath1467.78011OpenAlexW2604681080MaRDI QIDQ2007406

Sha-Sha Yuan, Hai-Qiang Zhang

Publication date: 14 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.03.019

zbMATH Keywords

binary Darboux transformationmulti-component defocusing Hirota systemvector dark soliton

Mathematics Subject Classification ID

Composite media; random media in optics and electromagnetic theory (78A48)

Related Items (11)

Bound states of dark solitons in \(N\)-coupled complex modified Korteweg-de Vries equations ⋮ Long-time asymptotics for the initial-boundary value problem of coupled Hirota equation on the half-line ⋮ Integrability and Lie symmetry analysis of deformed \(N\)-coupled nonlinear Schrödinger equations ⋮ Conservation laws of deformed \(N\)-coupled nonlinear Schrödinger equations and deformed \(N\)-coupled Hirota equations ⋮ Bilinear forms and dark soliton behaviors for a higher-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous alpha helical protein ⋮ Lax pair, binary Darboux transformations and dark-soliton interaction of a fifth-order defocusing nonlinear Schrödinger equation for the attosecond pulses in the optical fiber communication ⋮ The \(N\)th-order Darboux transformation, vector dark solitons and breathers for the coupled defocusing Hirota system in a birefringent nonlinear fiber ⋮ Shapes and dynamics of dual-mode Hirota-Satsuma coupled KdV equations: exact traveling wave solutions and analysis ⋮ Rational soliton solutions in the parity-time-symmetric nonlocal coupled nonlinear Schrödinger equations ⋮ Integrability and group theoretical aspects of deformed \(N\)-coupled Hirota equations ⋮ Long-time asymptotic behavior of the solution to the coupled Hirota equations with decaying initial data

Cites Work

• Unnamed Item
• Unnamed Item
• Rogue wave solutions of the \((2+1)\)-dimensional derivative nonlinear Schrödinger equation
• Darboux transformation and multi-dark soliton forN-component nonlinear Schrödinger equations
• Bright and dark optical solitons in coupled higher-order nonlinear Schrodinger equations through singularity structure analysis
• Bilinearization of Coupled Nonlinear Schrödinger Type Equations: Integrabilty and Solitons
• Exact envelope-soliton solutions of a nonlinear wave equation
• Dark soliton solutions of the coupled Hirota equation in nonlinear fiber

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