Author: F. Calogero
Publisher: Pitman Publishing
Published: 1978
Total Pages: 292
ISBN-13:
DOWNLOAD EBOOK →The volume contains the text of the invited lectures presented at the International Symposium on "Nonlinear Evolution Equations Solvable by the Inverse Spectral Transform", that took place at the Accademia dei Lincei in Rome from June 15 through June 18, 1977. It introduces an important mathematical technique based on the spectral transform and relevant to the solution of nonlinear evolution equations. These texts will be of particular value to theoretical physicists (in plasma, nonlinear optics, hydrodynamics, solid state and elementary particles); applied mathematicians interested in nonlinear evolution equations; and pure mathematicians interested in algebraic and differential geometry.
Author: F. Calogero
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 515
ISBN-13: 9780080875347
DOWNLOAD EBOOK →Spectral Transform and Solitons
Author: Mark J. Ablowitz
Publisher: Cambridge University Press
Published: 1991-12-12
Total Pages: 532
ISBN-13: 0521387302
DOWNLOAD EBOOK →This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
Author: B.G. Konopelchenko
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 298
ISBN-13: 1489911707
DOWNLOAD EBOOK →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-difference equations. The inverse scattering trans form method has allowed the investigation of these equations in a manner comparable to that of the Fourier method for linear equations.
Author: Mark J Ablowitz
Publisher: World Scientific
Published: 1987-06-01
Total Pages: 354
ISBN-13: 9813237953
DOWNLOAD EBOOK →The focus of this volume is to show how the various successful models of nuclear structure complement one another and can be realised as approximations, appropriate in different situations, to an underlying non-relativistic many-nucleon theory of nuclei.In common with the previous volume on Foundational Models, it starts with a broad survey of the relevant nuclear structure data and proceeds with two dominant themes. The first is to review the many-body theories and successful phenomenological models with collective and nucleon degrees of freedom. The second is to show how these models relate to the underlying many-nucleon shell model in its various coupling schemes.