Some nonlinear dispersive waves arising in compressible hyperelastic plates

DOI10.1016/j.ijengsci.2006.08.003zbMath1213.74182OpenAlexW2064601918MaRDI QIDQ538657

Robin Ming Chen

Publication date: 25 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2006.08.003

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Nonlinear waves in solid mechanics (74J30) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

Derivation of the Camassa-Holm equations for elastic waves ⋮ Existence of the periodic peaked solitary-wave solutions to the Camassa-Holm-Kadomtsev-Petviashvili equation ⋮ Controllable rogue waves in a compressible hyperelastic plate ⋮ Solitons and periodic traveling waves for a hyperelastic dispersive equation ⋮ Numerical study of fractional Camassa-Holm equations ⋮ On a two dimensional nonlocal shallow-water model ⋮ A note on the convergence of the solution of the high order Camassa-Holm equation to the entropy ones of a scalar conservation law ⋮ Asymptotic analysis of axially accelerating viscoelastic strings ⋮ Asymptotic analysis on nonlinear vibration of axially accelerating viscoelastic strings with the standard linear solid model ⋮ A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation ⋮ Transverse Instability of the CH-KP-I Equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On waves in slender elastic rods
• Derivation of higher order gradient continuum theories in 2,3-D nonlinear elasticity from periodic lattice models
• On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
• Solitary waves of generalized Kadomtsev-Petviashvili equations
• The influence of scale size on the stability of periodic solids and the role of associated higher-order gradient continuum models.
• The Cauchy problem and stability of solitary-wave solutions for RLW--KP-type equations
• Nonlinear Waves in a Rod: Results for Incompressible Elastic Materials
• Uniform asymptotic analysis for waves in an incompressible elastic rod II. Disturbances superimposed on a pre-stressed state
• A Modern Introduction to the Mathematical Theory of Water Waves
• An integrable shallow water equation with peaked solitons
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
• Global Continuation in Second-Gradient Nonlinear Elasticity
• Model equations for long waves in nonlinear dispersive systems
• Nonlinear problems of elasticity