Chaotic motions for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a nano optical fiber

DOI10.1016/J.AML.2019.01.005zbMath1414.35215OpenAlexW2913246558MaRDI QIDQ1739464

Hui-Min Yin, Bo Tian, Xin-Chao Zhao, Cong-Cong Hu

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.005

zbMATH Keywords

perturbed nonlinear Schrödinger equationchaotic motionsplanar dynamic systemnano optical fiber

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Perturbations in context of PDEs (35B20)

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Homoclinic bifurcations and chaotic dynamics of non-planar waves in axially moving beam subjected to thermal load ⋮ Maxwell’s Equations with Nonlinear Inhomogeneous Constitutive Relation: Guided Waves in a Film Filled with Inhomogeneous Kerr Medium ⋮ Stable transmission of solitons in the complex cubic-quintic Ginzburg-Landau equation with nonlinear gain and higher-order effects ⋮ Maxwell's equations with arbitrary self-action nonlinearity in a waveguiding theory: guided modes and asymptotic of eigenvalues

Cites Work

• Unnamed Item
• Dressing for a novel integrable generalization of the nonlinear Schrödinger equation
• New exact solutions for the classical Drinfel'd-Sokolov-Wilson equation
• Peakons of the Camassa-Holm equation

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