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Titlebook: Introduction to Multidimensional Integrable Equations; The Inverse Spectral B. G. Konopelchenko,C. Rogers Book 1992 Springer Science+Busine

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书目名称Introduction to Multidimensional Integrable Equations
副标题The Inverse Spectral
编辑B. G. Konopelchenko,C. Rogers
视频video
丛书名称Plenum Monographs in Nonlinear Physics
图书封面Titlebook: Introduction to Multidimensional Integrable Equations; The Inverse Spectral B. G. Konopelchenko,C. Rogers Book 1992 Springer Science+Busine
描述The soliton represents one ofthe most important ofnonlinear phenomena in modern physics. It constitutes an essentially localizedentity with a set ofremarkable properties. Solitons are found in various areas of physics from gravitation and field theory, plasma physics, and nonlinear optics to solid state physics and hydrodynamics. Nonlinear equations which describe soliton phenomena are ubiquitous. Solitons and the equations which commonly describe them are also of great mathematical interest. Thus, the dis­ covery in 1967and subsequent development ofthe inversescattering transform method that provides the mathematical structure underlying soliton theory constitutes one of the most important developments in modern theoretical physics. The inversescattering transform method is now established as a very powerful tool in the investigation of nonlinear partial differential equations. The inverse scattering transform method, since its discoverysome two decades ago, has been applied to a great variety of nonlinear equations which arise in diverse fields of physics. These include ordinary differential equations, partial differential equations, integrodifferential, and differential-differen
出版日期Book 1992
关键词Soliton; integrable system; solution; spectra
版次1
doihttps://doi.org/10.1007/978-1-4899-1170-4
isbn_softcover978-1-4899-1172-8
isbn_ebook978-1-4899-1170-4
copyrightSpringer Science+Business Media New York 1992
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Book 1992rse scattering transform method, since its discoverysome two decades ago, has been applied to a great variety of nonlinear equations which arise in diverse fields of physics. These include ordinary differential equations, partial differential equations, integrodifferential, and differential-differen
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. The inverse scattering transform method, since its discoverysome two decades ago, has been applied to a great variety of nonlinear equations which arise in diverse fields of physics. These include ordinary differential equations, partial differential equations, integrodifferential, and differential-differen978-1-4899-1172-8978-1-4899-1170-4
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Introduction,] derived the nonlinear equation which describes the propagation of long water waves in a canal and which admits the soliton solution described by Russell. This is the celebrated ..Thus, the background for the quantitative description of solitons was laid nearly a century ago. However, the modern hi
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The Inverse Spectral Transform Method in 2+1 Dimensions,Davey-Stewartson (DS) equation, and Nizhnik-Veselov-Novikov (NVN) equation. Most attention will be devoted to methods of solution of these equations, namely, to associated nonlocal Riemann-Hilbert problems and the ∂̄-method. We also discuss special classes of solution to these equations such as lump
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Multidimensional Integrable Systems,t multidimensional nonlinear equation integrable by the IST method is the self-dual (or anti-self dual) equation of Yang-Mills theory, namely, .where .. is the stress-tensor of the Yang-Mills field and .is the tensor dual to ... Here, ... is the usual antisymmetric constant tensor.
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