Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces

Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces

A special class of integrable nonlinear differential equations related to A.III-type symmetric spaces and having additional reductions are analyzed via the inverse scattering method (ISM). Using the dressing method we construct two classes of soliton solutions associated with the Lax operator. Next,...

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Bibliographic Details
Main Authors: Vladimir S. Gerdjikov, Georgi G. Grahovski, Alexander V. Mikhailov, Tihomir I. Valchev
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
reduction group
Riemann-Hilbert problem
spectral decompositions
integrals of motion
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.096

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