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Nonlinear Waves in Inhomogeneous and Hereditary Media
Lokshin, Alexandr A.; Sagomonyan, Elena A.
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Description for Nonlinear Waves in Inhomogeneous and Hereditary Media
Paperback. Presents the study of one-dimensional waves in inhomogeneous and hereditary media (media with memory). A new, mathematically rigorous factorization method is applied, which yields either an exact or an asymptotic decomposition of nonlinear wave equations into first order multipliers. Series: Research Reports in Physics. Num Pages: 131 pages, 4 black & white illustrations, biography. BIC Classification: PBW; PHD; PHFC; PHK; TGB; TGM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 7. Weight in Grams: 207.
This booklet presents a study of one-dimensional waves in solids which can be modelled by nonlinear wave equations of different types. The factorization method is the main tool in this analysis. It allows for an exact or at least asymp totic decomposition of the wave(s) under consideration in terms of first order multipliers. Chapter 1 provides a general introduction. It presents some well-known results on characteristics, Riemann invariants, simple waves, etc. The main result of Chap. 1 is Theorem 1.3.2. (Sect. 1.3.2) which establishes the possibility of exact factorization of the nonlinear wave equation EPa(a) 1 EPa _ 0 Ij(l-u- ... Read more
This booklet presents a study of one-dimensional waves in solids which can be modelled by nonlinear wave equations of different types. The factorization method is the main tool in this analysis. It allows for an exact or at least asymp totic decomposition of the wave(s) under consideration in terms of first order multipliers. Chapter 1 provides a general introduction. It presents some well-known results on characteristics, Riemann invariants, simple waves, etc. The main result of Chap. 1 is Theorem 1.3.2. (Sect. 1.3.2) which establishes the possibility of exact factorization of the nonlinear wave equation EPa(a) 1 EPa _ 0 Ij(l-u- ... Read more
Product Details
Format
Paperback
Publication date
1992
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
131
Condition
New
Series
Research Reports in Physics
Number of Pages
121
Place of Publication
Berlin, Germany
ISBN
9783540545361
SKU
V9783540545361
Shipping Time
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Ref
99-15
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