Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations
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Publication:3104837
DOI10.1098/rspa.2010.0508zbMath1228.74039arXiv1302.0109OpenAlexW3101819545MaRDI QIDQ3104837
Giuseppe Saccomandi, Michel Destrade, Alain Goriely
Publication date: 17 December 2011
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.0109
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Cites Work
- On the derivation of the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and validation of the KZK-approximation for viscous and non-viscous thermo-elastic media
- Reductive perturbation method for quasi one-dimensional nonlinear wave propagation. I
- Solitary and compactlike shear waves in the bulk of solids
- Nonlinear diffraction and caustic formation
- A New Type of Burgers' Equation
- On finite anti-plane shear for imcompressible elastic materials
- Helical Shear for Hardening Generalized Neo-Hookean Elastic Materials
- Antiplane Shear Motions for Viscoelastic Mooney-Rivlin Materials
- The generalized Burgers and Zabolotskaya-Khokhlov equations
- Similarity Reductions of the Zabolotskaya-Khokhlov Equation with a Dissipative Term
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