Wave features related to the equations of a moving threadline

DOI10.1007/BF00945011zbMath0706.73030MaRDI QIDQ918773

Carmela Currò, Francesco Olivieri

Publication date: 1989

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionlongitudinal wavesmodified Burgers equation

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Wave equation (35L05) Strings (74K05)

Cites Work

• On the evolution of weak discontinuities in a state characterized by invariant solutions
• On nonlinear plane vibration of a moving threadline
• Ondes asymptotiques non linéaires
• Non-linear vibration of a traveling threadline
• Ondes asymptotiques et approchees pour des systèmes d'équations aux dérivées partielles non linéaires
• Longitudinal wave propagation on a traveling threadline. II
• Hyperbolic systems of conservation laws II
• A Class of General Solutions to the Nonlinear Dynamic Equations of Elastic Strings
• Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
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