Spectral Transform and Solitons
Author: F. Calogero
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 533
ISBN-13: 0080875343
DOWNLOAD EBOOKSpectral Transform and Solitons
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Author: F. Calogero
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 533
ISBN-13: 0080875343
DOWNLOAD EBOOKSpectral Transform and Solitons
Author: B G Konopelchenko
Publisher: World Scientific
Published: 1993-04-30
Total Pages: 304
ISBN-13: 9814518069
DOWNLOAD EBOOKThe book is devoted to the mathematical theory of soliton phenomena on the plane. The inverse spectral transform method which is a main tool for the study of the (2+1)-dimensional soliton equation is reviewed. The ∂-problem and the Riemann-Hilbert problem method are discussed. Several basic examples of soliton equations are considered in detail. This volume is addressed both to the nonexpert and to the researcher in the field. This is the first literature dealing specifically with multidimensional solition equations.
Author: F. Calogero
Publisher:
Published: 1982
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Francesco Calogero
Publisher:
Published: 1979
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Francesco Calogero
Publisher:
Published: 1982
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: F. Calogero
Publisher:
Published: 1982
Total Pages: 516
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1982
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: B.G. Konopelchenko
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 298
ISBN-13: 1489911707
DOWNLOAD EBOOKThe 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: F. Calogero
Publisher:
Published: 1978
Total Pages: 257
ISBN-13:
DOWNLOAD EBOOKAuthor: Mark J. Ablowitz
Publisher: Cambridge University Press
Published: 1991-12-12
Total Pages: 532
ISBN-13: 0521387302
DOWNLOAD EBOOKThis 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.