Introduction to Multidimensional Integrable Equations : The Inverse Spectral Transform in 2+1 Dimensions

B. G. Konopelchenko

ISBN 10: 1489911723 / ISBN 13: 9781489911728

Edité par Springer US, Springer US, 2013

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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.

N° de réf. du vendeur 9781489911728

Détails bibliographiques

• Titre: Introduction to Multidimensional Integrable Equations : The Inverse Spectral Transform in 2+1 Dimensions
• Éditeur: Springer US, Springer US
• Date de parution: 2013
• Langue: anglais
• ISBN à 10 chiffres: 1489911723
• ISBN à 13 chiffres: 9781489911728
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 17 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 17 millimètres de profondeur
• Poids: 464 grammes

A propos de ce titre

Synopsis

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.