Generation of exact solutions to a class of quasilinear hyperbolic models via reduction techniques

DOI10.1016/0895-7177(93)90218-NzbMath0802.35121OpenAlexW2094653432MaRDI QIDQ1324733

Natale Manganaro, Domenico Fusco

Publication date: 4 July 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(93)90218-n

zbMATH Keywords

exact solutionsquasilinear nonhomogeneous hyperbolic systemRiemann- like invariants

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) First-order hyperbolic systems (35L40)

Related Items

Riemann invariants-like solutions for a class of rate-type materials

Cites Work

• Reduction to linear canonical forms and generation of conservation laws for a class of quasilinear hyperbolic systems
• On a class of quasilinear hyperbolic reducible systems allowing for special wave interactions
• Bäcklund transformations and their applications
• Nonlinear equations in the applied sciences
• Exact Solutions Describing Soliton-Like Interactions in a Nondispersive Medium
• Some Applications of the Riemann Method to Electromagnetic Wave Propagation in Nonlinear Media
• Nonlinear boundary value problems in science and engineering
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