Solitary waves in finite-deformation elastic circular rod

DOI10.1007/S10483-006-1016-YzbMath1165.74025OpenAlexW91993883MaRDI QIDQ1030442

Zhi-Fang Liu, Shan-Yuan Zhang

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-006-1016-y

zbMATH Keywords

Hamilton principlefinite expansion methodshearing straintransverse inertia

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Solitary waves in solid mechanics (74J35)

Related Items (1)

Analytical solutions for the elastic circular rod nonlinear wave, Boussinesq, and dispersive long wave equations

Cites Work

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• New solitary wave solution of the combined KdV and mKdV equation
• The asymptotic solution of a dynamic buckling problem in elastic columns
• Solitary wave solutions for variant Boussinesq equations
• A simple transformation for nonlinear waves.
• A simple fast method in finding particular solutions of some nonlinear PDE

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