Dispersion of nonlinear waves in a rod

DOI10.1016/0021-8928(82)90145-9zbMath0521.73021OpenAlexW2081621266MaRDI QIDQ1055226

Victor L. Berdichevsky

Publication date: 1982

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90145-9

zbMATH Keywords

nonlinear wavesevolution equationssoliton solutionsplane oscillationsinextensible roddepend upon small parametereffective rodnonlinear generalization of linear problem of transverse oscillationsparticular case of general method of studying functionalsslow mean motionsuperimposed rapid oscillationsWhithman method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Wave scattering in solid mechanics (74J20) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

• Influence of geometrical nonlinearity on the waves propagating through a thin, free plate
• On nonlinear tensor functions in the theory of relativity
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