Simple waves in quasilinear hyperbolic systems. I. Theory of simple waves and simple states. Examples of applications

DOI10.1063/1.525979zbMath0555.35079OpenAlexW1976971045MaRDI QIDQ3218519

Roman Żelazny, A. Michel Grundland

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525979

zbMATH Keywords

Cauchy problemdifferential formsCartan theorysolitonRiemann functionBäcklund transformationssine-GordonKorteweg-de Vriesquasilinear hyperbolic systemsconstruction of solutionsLiouvilleKlein-Gordonsimple wavesintegral elementsnonlinear nonelliptic systemsPfaff formssystem in involution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Pfaffian systems (58A17) First-order nonlinear hyperbolic equations (35L60) Differential forms in global analysis (58A10)

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