Perturbation analysis for wave equation of nonlinear elastic rod

DOI10.1007/S10483-006-0910-ZzbMath1258.74018OpenAlexW2005125655MaRDI QIDQ940125

Jinqiao Yi, Lei Zhang, Peng Guo, Kepu Lü, Wen-shan Duan

Publication date: 1 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10483-006-0910-z

zbMATH Keywords

NLS equationfar fieldnonlinear elastic rod

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Nonlinear waves in solid mechanics (74J30)

Related Items (5)

Group classifications, symmetry reductions and exact solutions to the nonlinear elastic rod equations ⋮ Solution of nonlinear wave equation of elastic rod ⋮ Exact travelling wave solutions in a nonlinear elastic rod equation ⋮ Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation ⋮ Dynamical survey of a generalized-Zakharov equation and its exact travelling wave solutions

Cites Work

• The propagation of solitary waves in a nonlinear elastic rod
• Passing-through and oscillating about each other of a pair of solitary waves in a rectangular water trough
• Solitary waves in a quartic nonlinear elastic rod
• Reductive perturbation method of super KdV equations

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