Inelastic interactions, numerical breathers and chaotic wave fields for a focusing Kundu–Eckhaus equation in a nonlinear optical fiber
DOI10.1080/17455030.2019.1630785zbMath1492.78003OpenAlexW2955579720WikidataQ127592743 ScholiaQ127592743MaRDI QIDQ5092008
Hui-Min Yin, Bo Tian, Xin-Chao Zhao
Publication date: 28 July 2022
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2019.1630785
quantum opticssplit-step Fourier methodDarboux transformweakly nonlinear dispersive mediumdouble-hump optical breatherStokes wave stability
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51) Hydrodynamic stability (76E99) Physical optics (78A10)
Cites Work
- Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations
- Rogue waves in the ocean
- Rogue wave triplets
- On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics
- Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus-Kundu equation with the cubic-quintic nonlinearity
- The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value
- Collisions between the dark solitons for a nonlinear system in the geophysical fluid
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows
- Mathematical view with observational/experimental consideration on certain \((2+1)\)-dimensional waves in the cosmic/laboratory dusty plasmas
- Multi-dark soliton solutions for a coupled AB system in the geophysical flows
- Vector breather-to-soliton transitions and nonlinear wave interactions induced by higher-order effects in an erbium-doped fiber
- Characteristics of fundamental and superregular modes in a multiple self-induced transparency system
- Observation of rogue wave triplets in water waves
- Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
- Dynamics of Controllable Optical Rogue Waves in Presence of Quintic Nonlinearity and Nonlinear Dispersion Effects
- Breather-to-soliton transitions and nonlinear wave interactions for the nonlinear Schrödinger equation with the sextic operators in optical fibers
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Long-time asymptotics for the Kundu–Eckhaus equation on the half-line
- Vector semirational rogue waves and modulation instability for the coupled higher-order nonlinear Schrödinger equations in the birefringent optical fibers
- Superregular breathers in a complex modified Korteweg-de Vries system
- On the complex structures of Kundu-Eckhaus equation via improved Bernoulli sub-equation function method
- Bäcklund transformation, infinitely-many conservation laws, solitary and periodic waves of an extended (3 + 1)-dimensional Jimbo–Miwa equation with time-dependent coefficients
- Solitons for a (2+1)-dimensional coupled nonlinear Schrödinger system with time-dependent coefficients in an optical fiber
- Vector semirational rogue waves for the coupled nonlinear Schrödinger equations with the higher-order effects in the elliptically birefringent optical fiber
- Dark soliton excitations and collisions for the (2+1)-dimensional variable-coefficient Davey-Stewartson-like equations in the plasmas or Bose-Einstein condensates
This page was built for publication: Inelastic interactions, numerical breathers and chaotic wave fields for a focusing Kundu–Eckhaus equation in a nonlinear optical fiber