# Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil

Serdica Mathematical Journal (1998)

- Volume: 24, Issue: 3-4, page 225-256
- ISSN: 1310-6600

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topYordanov, Russi. "Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil." Serdica Mathematical Journal 24.3-4 (1998): 225-256. <http://eudml.org/doc/11592>.

@article{Yordanov1998,

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).},

author = {Yordanov, Russi},

journal = {Serdica Mathematical Journal},

keywords = {N -Soliton Solution; N-Gap Solution; KDV; Polynomial Pencil; -soliton solution; -gap solution; polynomial pencil; Korteweg-de Vries equation; spectral equation},

language = {eng},

number = {3-4},

pages = {225-256},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil},

url = {http://eudml.org/doc/11592},

volume = {24},

year = {1998},

}

TY - JOUR

AU - Yordanov, Russi

TI - Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil

JO - Serdica Mathematical Journal

PY - 1998

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 24

IS - 3-4

SP - 225

EP - 256

AB - 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).

LA - eng

KW - N -Soliton Solution; N-Gap Solution; KDV; Polynomial Pencil; -soliton solution; -gap solution; polynomial pencil; Korteweg-de Vries equation; spectral equation

UR - http://eudml.org/doc/11592

ER -

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