Discontinuous solutions of nonlinear wave phenomena by similarity approach

DOI10.1016/0307-904X(91)90075-ZzbMath0728.35067OpenAlexW1965524612MaRDI QIDQ804826

Waclaw Frydrychowicz, Mansa C. Singh

Publication date: 1991

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(91)90075-z

zbMATH Keywords

Riemann problemsimilarity technique

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Hyperbolic conservation laws (35L65)

Related Items (1)

Application of lie groups to the theory of shells and rods

Cites Work

• Convergence of approximate solutions to conservation laws
• Group theoretic analysis and similarity solution for a nonlinear viscous rod subjected to time dependent velocity impact
• Group theoretic and similarity analysis of hyperbolic partial differential equations
• Similarity representation of wave propagation in a nonlinear viscoelastic rod on a group theoretic basis
• A theorem in ordinary differential equations with an application to hyperbolic conservation laws
• Similarity methods for differential equations
• Some matrix aspects of generalized dimensional analysis
• Hyperbolic systems of conservation laws II
• Dispersion of free harmonic waves in fiber- reinforced composites.
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