Complicated travelling wave solutions of a modelling system describing media with memory and spatial nonlocality

DOI10.1016/S0034-4877(99)80169-4zbMath0960.37039OpenAlexW1999157683MaRDI QIDQ1573858

V. N. Sidorets, S. I. Skurativskyy, Vsevolod Vladimirov

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(99)80169-4

zbMATH Keywords

periodicityspatial nonlocalityquasi-periodicstochastic solutionstravelling wave solutionmedia with memory

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Second-order nonlinear hyperbolic equations (35L70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Theory of constitutive functions in solid mechanics (74A20)

Related Items (5)

Nonlinear resonant vibrations of a rod made of material with oscillating inclusions ⋮ Dynamics of traveling waves in fluctuating nonlocal media ⋮ Soliton-like solutions and other wave patterns in the nonlocal model of structured media ⋮ Traveling Wave Solutions of the Nonlocal Brenner Hydrodynamic Models ⋮ Investigations of the autowave solutions of a model of structured media with spatial and temporal nonlocality

Cites Work

• On the governing equations in relaxing media models and self-similar quasiperiodic solutions
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