On a class of quasilinear hyperbolic reducible systems allowing for special wave interactions

DOI10.1007/BF00946339zbMath0645.76081OpenAlexW2079316875MaRDI QIDQ1103478

Carmela Currò, Domenico Fusco

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00946339

zbMATH Keywords

explicit solutionseigenvectorsinitial value problemshodograph planeisentropic fluid dynamicssmooth localized wave solutions

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) First-order nonlinear hyperbolic equations (35L60) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Riemann invariants-like solutions for a class of rate-type materials ⋮ Nonlinear wave interactions in a macroscopic production model ⋮ An exact description of nonlinear wave interaction processes ruled by \(2\times 2\) hyperbolic systems ⋮ A method for determining exact solutions to a class of nonlinear models based on introduction of differential constraints ⋮ Nonlinear wave interaction problems in the three-dimensional case ⋮ Nonlinear wave interactions for a model of extended thermodynamics with six fields ⋮ Generation of exact solutions to a class of quasilinear hyperbolic models via reduction techniques

Cites Work

• Bäcklund transformations and their applications
• Large amplitude waves in bounded media I. Reflexion and transmission of large amplitude shockless pulses at an interface
• Exact Solutions Describing Soliton-Like Interactions in a Nondispersive Medium
• Some Applications of the Riemann Method to Electromagnetic Wave Propagation in Nonlinear Media
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