Entire functions related to stationary solutions of the Kawahara equation
In this study, we characterize the lengths of intervals for which the linear Kawahara equation has a non-trivial solution, whose energy is stationary. This gives rise to a family of complex functions. Characterizing the lengths amounts to deciding which members of this family are entire functio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/43/abstr.html |
| _version_ | 1818195960157700096 |
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| author | Andre Luiz C. dos Santos Patricia N. da Silva Carlos Frederico Vasconcellos |
| author_facet | Andre Luiz C. dos Santos Patricia N. da Silva Carlos Frederico Vasconcellos |
| author_sort | Andre Luiz C. dos Santos |
| collection | DOAJ |
| description | In this study, we characterize the lengths of intervals for
which the linear Kawahara equation has a non-trivial solution,
whose energy is stationary. This gives rise to a family of complex
functions. Characterizing the lengths amounts to deciding which members
of this family are entire functions. Our approach is essentially
based on determining the existence of certain Mobius transformation. |
| first_indexed | 2024-12-12T01:26:29Z |
| format | Article |
| id | doaj.art-b70b27957187481eb397f901623b4636 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T01:26:29Z |
| publishDate | 2016-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-b70b27957187481eb397f901623b46362022-12-22T00:43:06ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-01-01201643,113Entire functions related to stationary solutions of the Kawahara equationAndre Luiz C. dos Santos0Patricia N. da Silva1Carlos Frederico Vasconcellos2 CEFET, Maracana, Brazil UERJ, Rio de Janeiro, Brazil UERJ, Rio de Janeiro, Brazil In this study, we characterize the lengths of intervals for which the linear Kawahara equation has a non-trivial solution, whose energy is stationary. This gives rise to a family of complex functions. Characterizing the lengths amounts to deciding which members of this family are entire functions. Our approach is essentially based on determining the existence of certain Mobius transformation.http://ejde.math.txstate.edu/Volumes/2016/43/abstr.htmlEntire functionsMobius transformationsstationary solutionsKawahara equation |
| spellingShingle | Andre Luiz C. dos Santos Patricia N. da Silva Carlos Frederico Vasconcellos Entire functions related to stationary solutions of the Kawahara equation Electronic Journal of Differential Equations Entire functions Mobius transformations stationary solutions Kawahara equation |
| title | Entire functions related to stationary solutions of the Kawahara equation |
| title_full | Entire functions related to stationary solutions of the Kawahara equation |
| title_fullStr | Entire functions related to stationary solutions of the Kawahara equation |
| title_full_unstemmed | Entire functions related to stationary solutions of the Kawahara equation |
| title_short | Entire functions related to stationary solutions of the Kawahara equation |
| title_sort | entire functions related to stationary solutions of the kawahara equation |
| topic | Entire functions Mobius transformations stationary solutions Kawahara equation |
| url | http://ejde.math.txstate.edu/Volumes/2016/43/abstr.html |
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