Showing nlin.SIShow all
3 papers · 1 filter
nlin.SI2026
Nonlinear Incompressible Shear Wave Models in Hyperelasticity and Viscoelasticity Frameworks, with Applications to Love Waves
Shawn Samuel Carl McAdam, Samuel Opoku Agyemang, Alexei Cheviakov
General equations describing shear displacements in incompressible hyperelastic materials, holding for an arbitrary form of strain energy density function, are presented and applie…
nlin.SI2025
Invariant Reduction for Partial Differential Equations. II: The General Framework
Kostya Druzhkov, Alexei Cheviakov
For a system of partial differential equations (PDEs) admitting a local (point, contact, or higher) symmetry with the characteristic , invariant solutions satisfy th…
nlin.SI2024
Invariant Reduction for Partial Differential Equations. I: Conservation Laws and Systems with Two Independent Variables
Kostya Druzhkov, Alexei Cheviakov
For a system of partial differential equations that has an extended Kovalevskaya form, a reduction procedure is presented that allows one to use a local (point, contact, or higher)…