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Time dependence and (non)commutativity of symmetries of evolution equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F01%3A00000069" target="_blank" >RIV/47813059:19610/01:00000069 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Time dependence and (non)commutativity of symmetries of evolution equations

  • Original language description

    We present easily verifiable sufficient conditions of time-independence and commutativity for local and nonlocal symmetries for a large class of homogeneous (1+1)-dimensional evolution systems. In contrast with the majority of known results, the verification of our conditions does not require the existence of master symmetry or hereditary recursion operator for the system in question. We also give simple sufficient conditions for the existence of infinite sets of time-independent symmetries for homogeneous (1+1)-dimensional evolution systems within slightly modified master symmetry approach.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2001

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Noncommutative Structures in Mathematics and Physics

  • ISBN

    ISBN0-7923-6999

  • ISSN

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

    379-390

  • Publisher name

    Kluwer

  • Place of publication

    neuveden

  • Event location

    Kiev

  • Event date

    Jan 1, 2001

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article