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Title: Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil
Authors: Yordanov, Russi
Keywords: N -Soliton Solution
N-Gap Solution
Polynomial Pencil
Issue Date: 1998
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 24, No 3-4, (1998), 225p-256p
Abstract: Dubrovin type equations for the N -gap solution of a completely integrable system associated with a polynomial pencil is constructed and then integrated to a system of functional equations. The approach used to derive those results is a generalization of the familiar process of finding the 1-soliton (1-gap) solution by integrating the ODE obtained from the soliton equation via the substitution u = u(x + λt).
ISSN: 1310-6600
Appears in Collections:Volume 24 Number 3-4

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