Stability and dynamical features of solitary wave solutions for a hydrodynamic-type system taking into account nonlocal effects

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F14%3A%230000457" target="_blank" >RIV/47813059:19610/14:#0000457 - isvavai.cz</a>

Result on the web

<a href="http://www.sciencedirect.com/science/article/pii/S1007570413005169" target="_blank" >http://www.sciencedirect.com/science/article/pii/S1007570413005169</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cnsns.2013.10.027" target="_blank" >10.1016/j.cnsns.2013.10.027</a>

Result language

angličtina

Original language name

Stability and dynamical features of solitary wave solutions for a hydrodynamic-type system taking into account nonlocal effects

Original language description

We consider a hydrodynamic-type system of balance equations for mass and momentum closed by the dynamical equation of state taking into account the effects of spatial nonlocality. We study higher symmetry admitted by this system and establish its non-integrability for the generic values of parameters. A system of ODEs obtained from the system under study through the group theory reduction is investigated. The reduced system is shown to possess a family of the homoclinic solutions describing solitary waves of compression and rarefaction. The waves of compression are shown to be unstable. On the contrary, the waves of rarefaction are likely to be stable. Numerical simulations reveal some peculiarities of solitary waves of rarefaction, and, in particular,the recovery of their shape after the collisions.

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/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</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

Publication year

2014

Confidentiality

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

Name of the periodical

Communications in Nonlinear Science and Numerical Simulation

ISSN

1007-5704

e-ISSN

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Volume of the periodical

19

Issue of the periodical within the volume

6

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

13

Pages from-to

1770-1782

UT code for WoS article

000328732900011

EID of the result in the Scopus database

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