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Author : S. Novikov
Release : 1984-05-31
Genre : Mathematics
Kind : eBook
Book Rating : 775/5 ( reviews)
Book Synopsis Theory of Solitons by : S. Novikov
Download or read book Theory of Solitons written by S. Novikov. This book was released on 1984-05-31. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ludwig Faddeev
Release : 2007-08-10
Genre : Science
Kind : eBook
Book Rating : 694/5 ( reviews)
Book Synopsis Hamiltonian Methods in the Theory of Solitons by : Ludwig Faddeev
Download or read book Hamiltonian Methods in the Theory of Solitons written by Ludwig Faddeev. This book was released on 2007-08-10. Available in PDF, EPUB and Kindle. Book excerpt: The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrödinger equation is considered as a main example, forming the first part of the book. The second part examines such fundamental models as the sine-Gordon equation and the Heisenberg equation, the classification of integrable models and methods for constructing their solutions.
Author : Chaohao Gu
Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 027/5 ( reviews)
Book Synopsis Soliton Theory and Its Applications by : Chaohao Gu
Download or read book Soliton Theory and Its Applications written by Chaohao Gu. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Alex Kasman
Release : 2010
Genre : Mathematics
Kind : eBook
Book Rating : 450/5 ( reviews)
Book Synopsis Glimpses of Soliton Theory by : Alex Kasman
Download or read book Glimpses of Soliton Theory written by Alex Kasman. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. --
Author : P. G. Drazin
Release : 1989-02-09
Genre : Mathematics
Kind : eBook
Book Rating : 550/5 ( reviews)
Book Synopsis Solitons by : P. G. Drazin
Download or read book Solitons written by P. G. Drazin. This book was released on 1989-02-09. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the theory of solitons in the physical sciences.
