Symmetry solutions of a nonlinear elastic wave equation with third-order anharmonic corrections

DOI10.1007/s10483-009-0808-zzbMath1353.76062OpenAlexW2029201162MaRDI QIDQ735326

Khalid Masood, M. Tahir Mustafa

Publication date: 21 October 2009

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

Full work available at URL: https://doi.org/10.1007/s10483-009-0808-z

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Nonlinear waves in solid mechanics (74J30) Explicit solutions of dynamical problems in solid mechanics (74H05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items

Lie symmetry analysis and conservation laws of non-linear (2+1) elastic wave equation, A method for generating approximate similarity solutions of nonlinear partial differential equations, Application of canonical coordinates for solving single-freedom constraint mechanical systems

Cites Work

• Exact solutions of some general nonlinear wave equations in elasticity
• Similarity methods for differential equations
• On a non-linear wave equation in elasticity
• Nonlinear partial differential equations in engineering
• A class of nonlinear wave equations containing the continuous Toda case
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetries and differential equations
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