Chaos and coherent structures in partial differential equations

DOI10.1016/0167-2789(86)90165-XzbMath0596.58029OpenAlexW2048803006MaRDI QIDQ1078869

Hatsuo Adachihara, Alan C. Newell, Juan Carlos Lerman, Jerome V. Moloney, David W. McLaughlin, Christopher K. R. T. Jones, Alejandro B. Aceves

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90165-x

zbMATH Keywords

solitary waveschaotic dynamicsstochasticityturbulencenonlinear partial differential equationschaotic attractorlasersoptical bistability

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Stokes and related (Oseen, etc.) flows (76D07) Quantum optics (81V80) Lasers, masers, optical bistability, nonlinear optics (78A60) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (9)

Interactions of coherent structures in a film flow: Simulations of a highly nonlinear evolution equation ⋮ Pattern selection in passive and active nonlinear optical systems ⋮ Micro-combs: a novel generation of optical sources ⋮ A combined spectral-amplitude-perturbation approach for systematic mode selection in thermal convection ⋮ Nonlinear thermal convection of a non-Fourier fluid ⋮ Smoothing and parameter estimation by soft-adherence to governing equations ⋮ Solitary waves as fixed points of infinite-dimensional maps for an optical bistable ring cavity: Analysis ⋮ Finite element approximation to two-dimensional sine-Gordon solitons ⋮ Dimension Reduction of Fluid Conveying Tubes: A Nontrivial Problem

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