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
DOI10.1080/17455030.2018.1516053zbMath1498.78032OpenAlexW2896474024WikidataQ125020085 ScholiaQ125020085MaRDI QIDQ5104312
Su-Su Chen, Jun Chai, Bo Tian, Xiao-Yu Wu, Zhong Du
Publication date: 9 September 2022
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2018.1516053
optical fiber communicationLax pairattosecond pulsesbinary Darboux transformationdark-soliton interactionfifth-order defocusing nonlinear Schrödinger equationparallel solitons
NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (21)
Cites Work
- Dark solitons behaviors for a (2+1)-dimensional coupled nonlinear Schrödinger system in an optical fiber
- Multi-dark soliton solutions for the higher-order nonlinear Schrödinger equation in optical fibers
- Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation
- Dark soliton solutions of the defocusing Hirota equation by the binary Darboux transformation
- Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation
- Collisions between the dark solitons for a nonlinear system in the geophysical fluid
- Higher-order integrable evolution equation and its soliton solutions
- General \(N\)-dark vector soliton solution for multi-component defocusing Hirota system in optical fiber media
- Darboux transformation and dark soliton solution for the defocusing Sasa-Satsuma equation
- Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
- Nonlinear-Evolution Equations of Physical Significance
- Breather-to-soliton transitions and nonlinear wave interactions for the nonlinear Schrödinger equation with the sextic operators in optical fibers
- Darboux transformation and multi-dark soliton forN-component nonlinear Schrödinger equations
- Darboux transformations for the nonlinear Schrödinger equations
- Matter rogue waves for the three-component Gross–Pitaevskii equations in the spinor Bose–Einstein condensates
- Vector semirational rogue waves and modulation instability for the coupled higher-order nonlinear Schrödinger equations in the birefringent optical fibers
- Bäcklund transformation, infinitely-many conservation laws, solitary and periodic waves of an extended (3 + 1)-dimensional Jimbo–Miwa equation with time-dependent coefficients
This page was built for publication: 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