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Solution of nonlinear wave equation of elastic rod

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Publication:940521
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DOI10.1007/s10483-008-0108-yzbMath1231.74046OpenAlexW1970979648MaRDI QIDQ940521

Kepu Lü, Lei Zhang, Peng Guo, 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/s10483-008-0108-y


zbMATH Keywords

KdV equationcombined KdV and mKdV equationnonlinear elastic rodmethod of full approximation


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elasticity (74B20) Nonlinear waves in solid mechanics (74J30)


Related Items (1)

Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation



Cites Work

  • Unnamed Item
  • Perturbation analysis for wave equation of nonlinear elastic rod
  • The propagation of solitary waves in a nonlinear elastic rod
  • Generalization of the method of full approximation and its applications
  • Solitary waves in a quartic nonlinear elastic rod
  • Solitary wave in a nonlinear elastic structural element of large deflection
  • Approximate analytical solutions for some strongly nonlinear problems


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