``Generalized Burgers' equation for nonlinear viscoelastic waves

DOI10.1016/0165-2125(85)90019-8zbMath0588.73046OpenAlexW2016660803MaRDI QIDQ1073608

B. George

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0165-2125(85)90019-8

zbMATH Keywords

numerical solutionsgeneralized Burgers equationviscoelastic mediumfar field evolution of unidirectional wavesnonlinear longitudinal wavesself-similar pulse solutionslow relaxationsteady shock solution

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Partial differential equations of mathematical physics and other areas of application (35Q99) Waves in solid mechanics (74J99)

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Cites Work

• Approximate equations for torsional waves in a nonlinear elastic rod with weak viscoelasticity
• Lectures on viscoelasticity theory
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• The development of plane shock waves in nonlinear viscoelastic media
• What is the Laplace Transform?
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