The book is devoted to the mathematical theory of soliton phenomena on the plane. The inverse spectral transform method which is a main tool for the study of the (2+1)-dimensional soliton equation is reviewed. The ?-problem and the Riemann-Hilbert problem method are discussed. Several basic examples of soliton equations are considered in detail. This volume is addressed both to the nonexpert and to the researcher in the field. This is the first literature dealing specifically with multidimensional solition equations.
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
ISBN-13
978-981-02-1348-0 (9789810213480)
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Schweitzer Klassifikation
Autor*in
Budker Inst Of Nuclear Physics, Novosibirsk, Russia
Inverse spectral transform in multidimensions - delta-method; initial and initial-boundary value problems in 2+1 dimensions; delta-dressing method; methods of construction of the multidimensional solvable equations and their exact solutions; operator and other representation of the integrable systems; algebraic structure of soliton equations; hierarchies of the integrable equations; symmetries and Backlund transformations; recursion structures; Hamiltonian structure.
