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Nonlinear Waves in Inhomogeneous and Hereditary Media
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§Dieser Band liefert eine Studie über eindimensionale Wellen in inhomogenen und hereditaren Medien (d.h. Medien mit "Gedächtnis"). Die Autoren wenden eine neue, mathematisch exakte Faktorisierungsmethode an, die entweder zur exakten oder zur asymptotischen Zerlegung nichtlinearer Wellengleichungen in Multiplikatoren erster Ordnung führt. This monograph presents the study of one-dimensional waves in inhomogeneous and hereditary media (i.e., media with memory). A new mathematically rigorous factorization method is applied which yields either an exact or an asymptotic decomposition of the nonlinear wave equations under consideration into first order multipliers. A central result presented in the book is a factorization theorem for the simple wave equation with constant coefficients. It permits to view Riemann invariants and simple waves from a different angle and is used to go over to wave equations with variable coefficients and memory.
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