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Soliton Theory and Its Applications (Paperback, Softcover reprint of hardcover 1st ed. 1995)
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Soliton Theory and Its Applications (Paperback, Softcover reprint of hardcover 1st ed. 1995)
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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, Backl nd 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.
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