The general idea advocated in this work is to start from complicated mathematical models describing wave motion as it results from the rules of continuum mechanics, and then to find a simpler viewpoint that still keeps everything essential preserved. Special attention is paid to the description of the sources of nonlinearities. The complexities in modelling are demonstrated by several examples including solitons, propagating instabilities and waves in waveguides. The selected case studies show some unconventional approaches in order to explain the richness of nonlinear wave motion. The final chapters are of more general character, including the essays on nonlinearity, beauty, and complexity. In this way, the thread of the analysis is the following: simple basic arguments result in a complicated theory that, in turn, needs certain simplifications in order to grasp the physical phenomena involved. What makes this book special compared to other books in the field is that all the examples are cast into a general philosophical network of complexity and simplicity.
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Preface. 1. Introduction: Basic Wave Theory. 2. Essential Continuum Mechanics. 3. Nonlinearities: Cornerstones for Complexity. 4. Nonlinear Wave Dynamics: Mathematical Models. 5. Wave Phenomena: Complexities in Modelling. 6. Selected Case Studies. 7. Essays: What is All That About. 8. Final Remarks: Complexity of Wave Motion. References. Index.
Book by Engelbrecht J
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natura. Codice articolo 5968075
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Condizione: New. The general idea advocated in this work is to start from complicated mathematical models describing wave motion as it results from the rules of continuum mechanics, and then to find a simpler viewpoint that still keeps everything essential preserved. Series: Texts in the Mathematical Sciences. Num Pages: 185 pages, biography. BIC Classification: PHD; TGMD4. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 12. Weight in Grams: 465. . 1997. Hardback. . . . . Codice articolo V9780792345084
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