Complete integrability of the differential equations connected with the problem of nonlinear oscillations of a homogeneous beam compressed longitudinally

DOI10.1007/BF01057426zbMath0625.73061OpenAlexW1995371616MaRDI QIDQ580009

Anatoliy K. Prykarpatsky, Valeriy H. Samoylenko, Yu. O. Mitropol's'kii

Publication date: 1985

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01057426

zbMATH Keywords

evolution equationnonlinear perturbationscompletely integrable dynamical systemconstant compressionsense of Liouville

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Perturbations in context of PDEs (35B20)

Related Items (1)

Integrable discretization and numerical simulations of the generalized coupled integrable dispersionless equations

Cites Work

• New Integrable Nonlinear Evolution Equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Inequalities: theory of majorization and its applications
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