Nonlinear dispersive waves in a relaxing medium

DOI10.1016/0165-2125(80)90006-2zbMath0438.73020OpenAlexW2076249803MaRDI QIDQ1142065

Alan Jeffrey, Yu. K. Ehngel'brekht

Publication date: 1980

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(80)90006-2

zbMATH Keywords

dispersion relationscompared Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equationsdispersion of nonlinear waves in relaxing mediumevolution equations for longitudinal wavestime regularized long wave (TRLW) equation

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Wave scattering in solid mechanics (74J20) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (5)

Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type ⋮ A note on nonlinear dispersion relations ⋮ On the ``destruction of solutions of nonlinear wave equations of Sobolev type with cubic sources ⋮ Non-linear analysis of wave propagation using transform methods ⋮ Approximate equations for torsional waves in a nonlinear elastic rod with weak viscoelasticity

Cites Work

• One-dimensional deformation waves in nonlinear viscoelastic media
• Theory of non-linear wave propagation with application to the interaction and inverse problems
• A numerical and theoretical study of certain nonlinear wave phenomena
• Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
• Model equations for long waves in nonlinear dispersive systems
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