| 书目名称 | Nonlinear Dispersive Equations | | 副标题 | Inverse Scattering a | | 编辑 | Christian Klein,Jean-Claude Saut | | 视频video | | | 概述 | First book uniting the modeling, PDE, and integrable systems points of view.Presents recent results on Korteweg–de Vries, Davey–Stewartson and Benjamin–Ono equations.Includes many numerical simulation | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | .Nonlinear Dispersive Equations. are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose–Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena, to that of the theory of partial differential equations, or as part of the theory of integrable systems..This monograph offers a thorough introduction to the topic, uniting the modeling, PDE and integrable systems approaches for the first time in book form. The presentation focuses on three "universal" families of physically relevant equations endowed with a completely integrable member: the Benjamin–Ono, Davey–Stewartson, and Kadomtsev–Petviashvili equations. These asymptotic models are rigorously derived and qualitative properties such as soliton resolution are studied in detail in both integrable andnon-integrable models. Numerical simulations are presented throughout to illustrate interesting phenomena..By presenting and comparing results from different fields, the book aims to stimulate scientific interactions and attract new s | | 出版日期 | Book 2021 | | 关键词 | Partial Differential Equations; Integrable systems; Dispersive shock waves; Soliton resolution; Benjamin | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-91427-1 | | isbn_softcover | 978-3-030-91429-5 | | isbn_ebook | 978-3-030-91427-1Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer Nature Switzerland AG 2021 |
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发表于 2025-3-21 17:34:20
