Group properties of the nonlinear dynamic equations of elastic strings

DOI10.1016/0020-7462(90)90042-8zbMath0704.73039OpenAlexW2072972631MaRDI QIDQ917372

James E. Peters, William F. Ames

Publication date: 1990

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(90)90042-8

zbMATH Keywords

invariantssystem of ordinary differential equationsnonlinear system of partial differential equationscablecontinuous transformation groupsplane motion of an extensible string

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Applications of Lie groups to the sciences; explicit representations (22E70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Strings (74K05)

Related Items (1)

Nonlinear waves in an inextensible flexible helix.

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