Titlebook: Introduction to Multidimensional Integrable Equations; The Inverse Spectral B. G. Konopelchenko,C. Rogers Book 1992 Springer Science+Busine

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Book 1992rse 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-differen

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. 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-differen978-1-4899-1172-8978-1-4899-1170-4

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Introduction,] derived the nonlinear equation which describes the propagation of long water waves in a canal and which admits the soliton solution described by Russell. This is the celebrated ..Thus, the background for the quantitative description of solitons was laid nearly a century ago. However, the modern hi

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The Inverse Spectral Transform Method in 2+1 Dimensions,Davey-Stewartson (DS) equation, and Nizhnik-Veselov-Novikov (NVN) equation. Most attention will be devoted to methods of solution of these equations, namely, to associated nonlocal Riemann-Hilbert problems and the ??-method. We also discuss special classes of solution to these equations such as lump

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Multidimensional Integrable Systems,t multidimensional nonlinear equation integrable by the IST method is the self-dual (or anti-self dual) equation of Yang-Mills theory, namely, .where .. is the stress-tensor of the Yang-Mills field and .is the tensor dual to ... Here, ... is the usual antisymmetric constant tensor.

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