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Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F19%3AA0000049" target="_blank" >RIV/47813059:19610/19:A0000049 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S1468121818310101?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1468121818310101?via%3Dihub</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.nonrwa.2018.09.005" target="_blank" >10.1016/j.nonrwa.2018.09.005</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules

  • Original language description

    We present the results of study of a nonlinear evolutionary PDE (more precisely, a one-parameter family of PDEs) associated with the chain of pre-stressed granules. The PDE in question supports solitary waves of compression and rarefaction (bright and dark compactons) and can be written in Hamiltonian form. We investigate inter alia integrability properties of this PDE and its generalized symmetries and conservation laws. For the compacton solutions we perform a stability test followed by the numerical study. In particular, we simulate the temporal evolution of a single compacton, and the interactions of compacton pairs. The results of numerical simulations performed for our model are compared with the numerical evolution of corresponding Cauchy data for the discrete model of chain of pre-stressed elastic granules.

  • 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)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

    Nonlinear Analysis: Real World Applications

  • ISSN

    1468-1218

  • e-ISSN

  • Volume of the periodical

    47

  • Issue of the periodical within the volume

    June

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    17

  • Pages from-to

    68-84

  • UT code for WoS article

    000458714100004

  • EID of the result in the Scopus database

    2-s2.0-85055878467