Orbital stability of solitary waves for a 2D-Boussinesq system
In this article, using a variational approach, we establish the nonlinear orbital stability of ground state solitary waves for a 2D Boussinesq-Benney-Luke system that models the evolution of three dimensional long water waves with small amplitude in the presence of surface tension.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/176/abstr.html |
| _version_ | 1818268042551885824 |
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| author | Alex M. Montes Jose R. Quintero |
| author_facet | Alex M. Montes Jose R. Quintero |
| author_sort | Alex M. Montes |
| collection | DOAJ |
| description | In this article, using a variational approach, we establish the
nonlinear orbital stability of ground state solitary waves for a 2D
Boussinesq-Benney-Luke system that models the evolution of three
dimensional long water waves with small amplitude in the presence of
surface tension. |
| first_indexed | 2024-12-12T20:32:12Z |
| format | Article |
| id | doaj.art-221287ca06f84c3abbb49a17e4e8f3df |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T20:32:12Z |
| publishDate | 2015-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-221287ca06f84c3abbb49a17e4e8f3df2022-12-22T00:13:00ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-06-012015176,117Orbital stability of solitary waves for a 2D-Boussinesq systemAlex M. Montes0Jose R. Quintero1 Univ. del Cauca, Popayan, Colombia Univ. del Valle, Cali, Colombia In this article, using a variational approach, we establish the nonlinear orbital stability of ground state solitary waves for a 2D Boussinesq-Benney-Luke system that models the evolution of three dimensional long water waves with small amplitude in the presence of surface tension.http://ejde.math.txstate.edu/Volumes/2015/176/abstr.htmlSolitary wavesorbital stabilityground state solutionsBoussinesq system |
| spellingShingle | Alex M. Montes Jose R. Quintero Orbital stability of solitary waves for a 2D-Boussinesq system Electronic Journal of Differential Equations Solitary waves orbital stability ground state solutions Boussinesq system |
| title | Orbital stability of solitary waves for a 2D-Boussinesq system |
| title_full | Orbital stability of solitary waves for a 2D-Boussinesq system |
| title_fullStr | Orbital stability of solitary waves for a 2D-Boussinesq system |
| title_full_unstemmed | Orbital stability of solitary waves for a 2D-Boussinesq system |
| title_short | Orbital stability of solitary waves for a 2D-Boussinesq system |
| title_sort | orbital stability of solitary waves for a 2d boussinesq system |
| topic | Solitary waves orbital stability ground state solutions Boussinesq system |
| url | http://ejde.math.txstate.edu/Volumes/2015/176/abstr.html |
| work_keys_str_mv | AT alexmmontes orbitalstabilityofsolitarywavesfora2dboussinesqsystem AT joserquintero orbitalstabilityofsolitarywavesfora2dboussinesqsystem |