Introduction to Multidimensional Integrable Equations: The Inverse Spectral Transform in 2+1 Dimensions (Plenum Monographs in Nonlinear Physics) - Softcover

Konopelchenko, B.G.

Softcover

ISBN 10: 1489911723 ISBN 13: 9781489911728

Verlag: Springer, 2013

Über diesen Titel

Reseña del editor

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.

Reseña del editor

This monograph presents the principle ideas, methods, and results concerning the theory of multidimensional solitons. Special attention is paid to the 2-method and the nonlocal Riemann-Hilbert problem method to help the physicist in constructing and solving multidimensional integrable equations.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2013
• ISBN 10: 1489911723
• ISBN 13: 9781489911728
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 304