| 书目名称 | Nonlinear Waves in Fluids: Recent Advances and Modern Applications | | 编辑 | Roger Grimshaw | | 视频video | | | 丛书名称 | CISM International Centre for Mechanical Sciences | | 图书封面 |  | | 描述 | Although nonlinear waves occur in nearly all branches of physics and engi neering, there is an amazing degree of agreement about the fundamental con cepts and the basic paradigms. The underlying unity of the theory for linearized waves is already well-established, with the importance of such universal concepts as group velocity and wave superposition. For nonlinear waves the last few decades have seen the emergence of analogous unifying comcepts. The pervasiveness of the soliton concept is amply demonstrated by the ubiquity of such models as the Korteweg-de Vries equation and the nonlinear Schrodinger equation. Similarly, there is a universality in the study of wave-wave interactions, whether determin istic or statistical, and in the recent developments in the theory of wave-mean flow interactions. The aim of this text is to present the basic paradigms of weakly nonlinear waves in fluids. This book is the outcome of a CISM Summer School held at Udine from September 20-24, 2004. . Like the lectures given there the text covers asymptotic methods for the derivation of canonical evolution equations, such as the Kortew- de Vries and nonlinear Schrodinger equations, descriptions of th | | 出版日期 | Book 2005 | | 关键词 | applied mathematics; dynamics; fluid dynamics; fluid flow; fluid mechanics; mechanics; nonlinear wave; phys | | 版次 | 1 | | doi | https://doi.org/10.1007/3-211-38025-6 | | isbn_softcover | 978-3-211-25259-8 | | isbn_ebook | 978-3-211-38025-3Series ISSN 0254-1971 Series E-ISSN 2309-3706 | | issn_series | 0254-1971 | | copyright | CISM Udine 2005 |
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发表于 2025-3-21 16:14:02
