Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Waveguides
DOI10.1007/978-3-030-29951-4_6zbMath1447.35316arXiv1910.00524OpenAlexW2978041666MaRDI QIDQ3295437
Karima R. Khusnutdinova, M. R. Tranter
Publication date: 9 July 2020
Published in: Applied Wave Mathematics II (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.00524
scatteringelastic waveguideslattice modelFermi-Pasta-Ulam problemBoussinesq-type equationsbulk strain waves
PDEs in connection with fluid mechanics (35Q35) Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Wave scattering in solid mechanics (74J20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) PDEs in connection with mechanics of deformable solids (35Q74) Lattice dynamics; integrable lattice equations (37K60) Soliton solutions (35C08)
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Cites Work
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- On Boussinesq-type models for long longitudinal waves in elastic rods
- The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation
- Strongly nonlinear envelope soliton in a lattice model for periodic structure
- Adjustment processes and radiating solitary waves in a regularised Ostrovsky equation
- The KPI equation with unconstrained initial data
- On the role of nonlinearities in the Boussinesq-type wave equations
- Solitary wave propagation in elastic bars with multiple sections and layers
- Waves in microstructured solids and the Boussinesq paradigm
- Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations
- Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq-Type Equation
- On the Derivation of the Modified Kadomtsev-Petviashvili Equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- The effect of rotation on internal solitary waves
- Numerical solution of Boussinesq systems of KdV–KdV type: II. Evolution of radiating solitary waves
- Initial Time Layers and Kadomtsev–Petviashvili‐Type Equations
- A Modern Introduction to the Mathematical Theory of Water Waves
- Method for Solving the Korteweg-deVries Equation
- On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations
- Amplification of Nonlinear Strain Waves in Solids
- D'Alembert‐type solution of the Cauchy problem for the Boussinesq‐Klein‐Gordon equation
- Modelling of nonlinear wave scattering in a delaminated elastic bar
- Model equations for long waves in nonlinear dispersive systems
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