Download Integrable Hamiltonian Hierarchies: Spectral and Geometric by Vladimir Gerdjikov, Gaetano Vilasi, Alexandar Borisov PDF

By Vladimir Gerdjikov, Gaetano Vilasi, Alexandar Borisov Yanovski

This publication offers a close derivation of the spectral homes of the Recursion Operators permitting one to derive the entire primary houses of the soliton equations and to review their hierarchies. therefore it's verified that the inverse scattering technique for fixing soliton equations is a nonlinear generalization of the Fourier transform.

The booklet brings jointly the spectral and the geometric ways and as such might be necessary to a large readership: from researchers within the box of nonlinear thoroughly integrable evolution equations to post-graduate students.

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