Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/13207
Title: | On the non-local hydrodynamic-type system and its soliton-like solution | Authors: | KUTAFINA, Ekaterina Vladimirov, V.A. Zorychta, B. |
Issue Date: | 2012 | Publisher: | IOP Publishing Ltd | Source: | Journal of Physics A-Mathematical and Theoretical, 45 (8), (ART N° 085210) | Abstract: | We consider a hydrodynamic system of balance equations for mass and momentum. This system is closed by the dynamic equation of state, taking into account the effects of spatio-temporal non-localities. Using group theory reduction, we obtain a system of ODEs, describing a set of approximate traveling wave solutions to the source system. The factorized system, containing a small parameter, proves to be Hamiltonian when the parameter is zero. Using Melnikov's method, we show that the factorized system possesses, in general, a one-parameter family of homoclinic loops, corresponding to the approximate soliton-like solutions of the source system. | Document URI: | http://hdl.handle.net/1942/13207 | ISSN: | 1751-8113 | e-ISSN: | 1751-8121 | DOI: | 10.1088/1751-8113/45/8/085210 | ISI #: | 000300606900012 | Rights: | 2012 IOP Publishing Ltd | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
On the non-local hydrodynamic-type system and its soliton-like solutions.pdf Restricted Access | Published version | 232.48 kB | Adobe PDF | View/Open Request a copy |
SCOPUSTM
Citations
5
checked on Sep 3, 2020
WEB OF SCIENCETM
Citations
7
checked on Sep 20, 2024
Page view(s)
28
checked on Sep 6, 2022
Download(s)
12
checked on Sep 6, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.