书目名称 | Fractional Dispersive Models and Applications |
副标题 | Recent Developments |
编辑 | Panayotis G. Kevrekidis,Jesús Cuevas-Maraver |
视频video | |
概述 | Features an interdisciplinary collection of expert views on nonlinearity and its universal applicability.Examines the role of fractional calculus and associated partial differential equations in multi |
丛书名称 | Nonlinear Systems and Complexity |
图书封面 |  |
描述 | .This book explores the role of fractional calculus and associated partial differential equations in modeling multiscale phenomena and overlapping macroscopic & microscopic scales, offering an innovative and powerful tool for modeling complex systems. While integer order PDEs have a long-standing history, the novel setting of fractional PDEs opens up new possibilities for the simulation of multi-physics phenomena. The book examines a range of releavant examples that showcase the seamless transition from wave propagation to diffusion or from local to non-local dynamics in both continuum and discrete systems. These systems have been argued as being particularly relevant in contexts such as nonlinear optics, lattice nonlinear dynamical systems, and dispersive nonlinear wave phenomena, where the exploration of the potential fractionality has emerged as a highly active topic for current studies..The volume consists of contributions from a diverse group of active scholars and expertsacross different fields, providing a detailed examination of the field‘s past, present, and future state-of-the-art in the interplay of fractional PDEs and nonlinear wave phenomena. It is intended to be of wi |
出版日期 | Book 2024 |
关键词 | Lattice Dynamical Systems; Nonlinear Waves; Fractional Wave Models; Fractional PDEs; Long-range Interact |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-54978-6 |
isbn_softcover | 978-3-031-54980-9 |
isbn_ebook | 978-3-031-54978-6Series ISSN 2195-9994 Series E-ISSN 2196-0003 |
issn_series | 2195-9994 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |