Introduction to Multidimensional Integrable Equations: The Inverse Spectral Transform in 2+1 Dimensions
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Overview
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.
Synopsis
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.
Booknews
Focuses mainly on the mathematical aspects of higher-dimensional solitons--found in a wide range of areas in physics, such as gravitation and field theory, plasma physics, and nonlinear optics--and the multidimensional inverse spectral transform method, which allows investigations of nonlinear equations comparable to those of linear equations by the Fourier method. Explains methods for the construction of multidimensional integrable equations and techniques for the calculation of exact solutions. A previous knowledge of soliton theory is helpful, but not absolutely necessary. Annotation c. Book News, Inc., Portland, OR (booknews.com)