Infinitely Many Local Higher Symmetries without Recursion Operator or Master Symmetry: Integrability of the Foursov?Burgers System Revisited

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F10%3A%230000270" target="_blank" >RIV/47813059:19610/10:#0000270 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Infinitely Many Local Higher Symmetries without Recursion Operator or Master Symmetry: Integrability of the Foursov?Burgers System Revisited

Original language description

We consider the Burgers-type system studied by Foursov, w(t) = w(xx) + 8ww(x) + (2 - 4 alpha)zz(x), z(t) = (1 - 2 alpha)z(xx) - 4 alpha zw(x) + (4 - 8 alpha)wz(x) - (4 + 8 alpha)w(2)z + (-2 + 4 alpha)z(3), for which no recursion operator or master symmetry was known so far, and prove that this system admits infinitely many local higher symmetries that are constructed using a nonlocal two-term recursion relation rather than a recursion operator.

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

<a href="/en/project/GA201%2F04%2F0538" target="_blank" >GA201/04/0538: Geometry of integrable systems</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

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

Name of the periodical

Acta Applicandae Mathematicae

ISSN

0167-8019

e-ISSN

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Volume of the periodical

109

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

9

Pages from-to

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UT code for WoS article

000273305200017

EID of the result in the Scopus database

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