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Integrable dispersive chains and their multi-phase solutions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F19%3AA0000047" target="_blank" >RIV/47813059:19610/19:A0000047 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007%2Fs11005-018-1138-0" target="_blank" >https://link.springer.com/article/10.1007%2Fs11005-018-1138-0</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11005-018-1138-0" target="_blank" >10.1007/s11005-018-1138-0</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Integrable dispersive chains and their multi-phase solutions

  • Original language description

    Earlier the theory of finite-gap integration was successfully applied to finite-component systems only. In this paper, we consider a first example of infinitely many component integrable systems. We construct multi-phase solutions for integrable dispersive chains associated with the three-dimensional linearly degenerate Mikhalev system of the first order. These solutions are parameterised by infinitely many arbitrary constants. As a by-product, we describe multi-phase solutions for finite-component dispersive reductions in these integrable dispersive chains.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Letters in Mathematical Physics

  • ISSN

    0377-9017

  • e-ISSN

    1573-0530

  • Volume of the periodical

    109

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    27

  • Pages from-to

    1219-1245

  • UT code for WoS article

    000466941800006

  • EID of the result in the Scopus database

    2-s2.0-85057060890