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Introduction to Multidimensional Integrable Equations - The Inverse Spectral Transform in 2+1 Dimensions (Hardcover, 1992 ed.)
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Introduction to Multidimensional Integrable Equations - The Inverse Spectral Transform in 2+1 Dimensions (Hardcover, 1992 ed.)
Series: Plenum Monographs in Nonlinear Physics
Expected to ship within 10 - 15 working days
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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."
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