On local time-dependent symmetries of integrable evolution equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F00%3A00000045" target="_blank" >RIV/47813059:19610/00:00000045 - 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

On local time-dependent symmetries of integrable evolution equations

Original language description

We consider a scalar (1+1)-dimensional evolution equation of order n=>2 which possesses time-independent formal symmetry (i.e. it is integrable in the sense of the symmetry approach), shared by all local generalized time-independent symmetries of this equation. We show that if such an equation possesses the nontrivial canonical conserved density $rhosb m, min{-1,1,2,cdots}$, then it has no polynomial-in-time local generalized symmetries (except time-independent ones) of order higher than n+m+1. Some generalizations of this result and related results are also presented. Using them, we find all local generalized time-dependent symmetries of the Harry Dym and mKdV equations.

Czech name

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Czech description

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Type

D - Article in proceedings

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)

Publication year

2000

Confidentiality

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

Article name in the collection

Proceedings of the Institute of Mathematics of the Ukrainian National Academy of Sciences. Mathematics and its Applications

ISBN

ISBN966-02-1444

ISSN

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e-ISSN

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Number of pages

8

Pages from-to

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Publisher name

Institute of Mathematics of the Ukrainian National Academy of Sciences, Kiev, Ukraine

Place of publication

Kiev, Ukraine

Event location

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Event date

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Type of event by nationality

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UT code for WoS article

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