The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F11%3A%230000316" target="_blank" >RIV/47813059:19610/11:#0000316 - isvavai.cz</a>

Result on the web

<a href="http://iopscience.iop.org/0951-7715/24/9/011/" target="_blank" >http://iopscience.iop.org/0951-7715/24/9/011/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/0951-7715/24/9/011" target="_blank" >10.1088/0951-7715/24/9/011</a>

Result language

angličtina

Original language name

The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations

Original language description

A de Sole, V G Kac and M Wakimoto have recently introduced a new family of compatible Hamiltonian operators of the form H((N,0)) = D(2)circle((1/u)circle D)(2n)circle D, where N = 2n + 3, n = 0, 1, 2,..., u is the dependent variable and D is the total derivative with respect to the independent variable. We present a differential substitution that reduces any linear combination of these operators to an operator with constant coefficients and linearizes any evolution equation which is bi-Hamiltonian withrespect to a pair of any nontrivial linear combinations of the operators H((N,0)) . We also give the Darboux coordinates for H((N,0)) for any odd N >= 3.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Nonlinearity

ISSN

0951-7715

e-ISSN

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Volume of the periodical

24

Issue of the periodical within the volume

9

Country of publishing house

GB - UNITED KINGDOM

Number of pages

6

Pages from-to

2569-2574

UT code for WoS article

000295165400011

EID of the result in the Scopus database

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