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 |  | 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 | doi | https://doi.org/10.1007/978-1-4899-1170-4 | isbn_softcover | 978-1-4899-1172-8 | isbn_ebook | 978-1-4899-1170-4 | copyright | Springer Science+Business Media New York 1992 |
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