Controllable behaviors of spatiotemporal breathers in a generalized variable-coefficient nonlinear Schrödinger model from arterial mechanics and optical fibers

DOI10.1007/S11071-015-1978-4zbMath1431.35168OpenAlexW2044691865MaRDI QIDQ327813

Hai-Ping Zhu, Hai-Yan Chen

Publication date: 19 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-1978-4

zbMATH Keywords

nonlinear Schrödinger equationbreatherscontrollable behaviors

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07)

Related Items (4)

Spatiotemporal soliton structures in \((3+1)\)-dimensional \(\mathcal{PT}\)-symmetric nonlinear couplers with gain and loss ⋮ Spatiotemporal Hermite-Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation ⋮ Spatiotemporal localized solitons in cubic and power-law competing nonlinear media with different diffractions and \(\mathcal {PT}\)-symmetric potentials ⋮ Localized modes of the (n+1)-dimensional Schrödinger equation with power-law nonlinearities in \(\mathcal{PT}\)-symmetric potentials

Cites Work

• Observation of two soliton propagation in an erbium doped inhomogeneous lossy fiber with phase modulation
• Superposed Akhmediev breather of the \({(3+1)}\)-dimensional generalized nonlinear Schrödinger equation with external potentials
• Soliton dispersion management in nonlinear optical fibers
• Conservation laws and Darboux transformation for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in nonlinear optics
• Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications
• Nonautonomous bright soliton solutions on continuous wave and cnoidal wave backgrounds in blood vessels
• Geiger–Nuttall law for Schrödinger solitons
• Enigmas of optical and matter-wave soliton nonlinear tunneling
• Water waves, nonlinear Schrödinger equations and their solutions
• Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons
• Analytical solutions to the (3+1)-dimensional generalized nonlinear Schrödinger equation with varying parameters
• The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
• Spatiotemporal Similaritons in (3+1)-Dimensional Inhomogeneous Nonlinear Medium with Cubic-Quintic Nonlinearity

This page was built for publication: Controllable behaviors of spatiotemporal breathers in a generalized variable-coefficient nonlinear Schrödinger model from arterial mechanics and optical fibers