Burger's-Korteweg-de Vries equation for viscoelastic rods and plates
From MaRDI portal
Publication:2544754
DOI10.1016/0022-247X(70)90290-8zbMath0212.57903OpenAlexW1972109532MaRDI QIDQ2544754
Publication date: 1970
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(70)90290-8
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bulk waves in solid mechanics (74J10) Wave scattering in solid mechanics (74J20)
Related Items
The propagation of solitary waves in a nonlinear elastic rod ⋮ Applications of KdV ⋮ Kink-type solitary waves within the quasi-linear viscoelastic model ⋮ Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities ⋮ Transverse diffraction of nonlinear waves in radiative magnetogasdynamics ⋮ Modeling of Nonlinear Waves in Two Coaxial Physically Nonlinear Shells with a Viscous Incompressible Fluid Between Them, Taking into Account the Inertia of its Motion ⋮ Weakly-Nonlinear Solution of Coupled Boussinesq Equations and Radiating Solitary Waves ⋮ Solitary longitudinal waves in an inhomogeneous nonlinearly elastic rod ⋮ Photo-elastic waves ⋮ Burger's-Korteweg-de Vries equation for viscoelastic rods and plates ⋮ On Boussinesq-type models for long longitudinal waves in elastic rods
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact theory of stress and strain in rods and shells
- Wave propagation in anisotropic elasticity
- Burger's-Korteweg-de Vries equation for viscoelastic rods and plates
- Visco-elastic waves b y the use of wave-front theory
- Torsional waves in an infinite elastic rod of elliptical cross section
- Non-linear wave propagation with applications to physics and magnetohydrodynamics
- Some comments on wave propagation and shock wave structure with application to magnetohydrodynamics
- Solitary waves in liquids having non-constant density
- A boundary-layer theory for elastic plates
- Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
- On the theory of plane stress
- Note on the undular jump
- Method for Solving the Korteweg-deVries Equation
- Non-linear dispersive waves
- On the formation of weak plane shock waves by impulsive motion of a piston
- Solitary Waves in an Atmosphere with Arbitrary Wind and Density Profiles
- Rotational and irrotational solitary waves in a channel with arbitrary cross section
- Asymptotic Theory of Wave‐Motion in Rods (Longitudinal Wave‐Motion)
- The hodograph transformation in trans-sonic flow. II. Auxiliary theorems on the hypergeometric functions ψ n (ז)
