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

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About: Stability and dynamical features of solitary wave solutions for a hydrodynamic-type system taking into account nonlocal effects Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.sciencedirect.com/science/article/pii/S1007570413005169
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. 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. (en)
Title	Stability and dynamical features of solitary wave solutions for a hydrodynamic-type system taking into account nonlocal effects Stability and dynamical features of solitary wave solutions for a hydrodynamic-type system taking into account nonlocal effects (en)
skos:prefLabel	Stability and dynamical features of solitary wave solutions for a hydrodynamic-type system taking into account nonlocal effects Stability and dynamical features of solitary wave solutions for a hydrodynamic-type system taking into account nonlocal effects (en)
skos:notation	RIV/47813059:19610/14:#0000457!RIV15-MSM-19610___
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP201/11/0356)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Sergyeyev, Artur
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Slezská univerzita v Opavě / Matematický ústav v Opavě
http://linked.open...dnocenehoVysledku	46940
http://linked.open...ai/riv/idVysledku	RIV/47813059:19610/14:#0000457
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Nonlocal hydrodynamic-type model; Integrability tests; Spectral stability of soliton-like solutions; Interaction of solitary waves (en)
http://linked.open.../riv/klicoveSlovo	Integrability tests Interaction of solitary waves Nonlocal hydrodynamic-type model Spectral stability of soliton-like solutions
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[E95CCE525883]
http://linked.open...i/riv/nazevZdroje	Communications in Nonlinear Science and Numerical Simulation
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Riemannian, pseudo-Riemannian and affine differential geometry
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	19
http://linked.open...iv/tvurceVysledku	Sergyeyev, Artur Maczka, Czesław Skurativskyi, Sergiy Vladimirov, Vsevolod A.
http://linked.open...ain/vavai/riv/wos	000328732900011
issn	1007-5704
number of pages	13 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.cnsns.2013.10.027
http://localhost/t...ganizacniJednotka	19610

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