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

Yordanov, 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 -