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Titlebook: Soliton Theory and Its Applications; Chaohao Gu Book 1995 Springer-Verlag Berlin Heidelberg 1995 Gravity.Soliton.bäcklund transformation.d

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书目名称Soliton Theory and Its Applications
编辑Chaohao Gu
视频video
图书封面Titlebook: Soliton Theory and Its Applications;  Chaohao Gu Book 1995 Springer-Verlag Berlin Heidelberg 1995 Gravity.Soliton.bäcklund transformation.d
描述Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlünd transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves, and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the authors and their collaborators, are presented.
出版日期Book 1995
关键词Gravity; Soliton; bäcklund transformation; differential equation; fluid mechanics; geometry; integrable sy
版次1
doihttps://doi.org/10.1007/978-3-662-03102-5
isbn_softcover978-3-642-08177-4
isbn_ebook978-3-662-03102-5
copyrightSpringer-Verlag Berlin Heidelberg 1995
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Inverse Scattering Methods,e initial value problem of the KdV equation, this new method of solving nonlinear partial differential equations has developed quickly in recent years. Now it is successfully used to solve many nonlinear equations which have very important applications. It is no doubt major progress in mathematical
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Symmetry,their Lie algebra structure for a given equation. In this chapter, the definition of symmetry will be given, and its geometrical meaning will be discussed. Further discussion of concepts and methods related with the finding of symmetry will be given. In order to facilitate the reader’s understanding
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Book 1995plications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlünd transformations, finite-dimensio
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and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the authors and their collaborators, are presented.978-3-642-08177-4978-3-662-03102-5
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