The complex Burgers equation as a model for collinear interactions of weakly nonlinear shear plane waves in anisotropic elastic materials

DOI10.1007/S10665-014-9723-4zbMath1360.35222OpenAlexW1975511636WikidataQ59406202 ScholiaQ59406202MaRDI QIDQ525449

Włodzimierz Domański

Publication date: 4 May 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-014-9723-4

zbMATH Keywords

shear wavescubic crystalanisotropic elastic materialscomplex Burgers equationicosahedral quasicrystalquadratically nonlinear couplingthreefold symmetry acoustic axis

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear waves in solid mechanics (74J30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation ⋮ High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method ⋮ Propagation and interaction of weakly nonlinear plane waves in transversely isotropic elastic materials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear diffusion of dislocation density and self-similar solutions
• Propagation and interaction of weakly nonlinear elastic plane waves in a cubic crystal
• Nonlinear stability of an undercompressive shock for complex Burgers equation
• Acoustic axes in elasticity
• Limit shapes and the complex Burgers equation
• Non-linear generalized elasticity of icosahedral quasicrystals
• Nonlinear evolution equations for degenerate transverse waves in anisotropic elastic solids

This page was built for publication: The complex Burgers equation as a model for collinear interactions of weakly nonlinear shear plane waves in anisotropic elastic materials