Head-on collision between two solitary waves in a compressible Mooney-Rivlin elastic rod.
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Publication:5960614
DOI10.1016/S0165-2125(00)00029-9zbMath1074.74586OpenAlexW1978328248MaRDI QIDQ5960614
Shi-qiang Dai, Yi Huo, Hui-Hui Dai
Publication date: 8 April 2002
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0165-2125(00)00029-9
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Soliton equations (35Q51) Solitary waves in solid mechanics (74J35)
Related Items (7)
Head-on collision between capillary-gravity solitary waves ⋮ Head-on collision between two hydroelastic solitary waves in shallow water ⋮ Solitary waves in a slender tube composed of an incompressible nonlinear elastic material ⋮ Study on the head-on collisions of two-dimensional trains of solitons ⋮ Non-uniform dependence and well-posedness for the hyperelastic rod equation ⋮ Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods ⋮ Analytical study of the head-on collision process between hydroelastic solitary waves in the presence of a uniform current
Cites Work
- Nonlinear axisymmetric waves in compressible hyperelastic rods: Long finite amplitude waves
- On waves in slender elastic rods
- A semi-inverse algorithm in application of computer algebra
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Solitary waves on nonlinear elastic rods. I
- Solitary-Wave Interactions in Elastic Rods
- On head-on collisions between two solitary waves
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