Bifurcation of traveling wave solutions of a generalized K(n,n) equation
In this article, a generalized K(n,n) equation is studied by the qualitative theory of bifurcations and the method of dynamical systems. The result shows the existence of the different kinds of traveling solutions of the generalized K(n,n) equation, including solitary waves, kink waves, per...
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Texas State University
2014-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/145/abstr.html |
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doaj-adbc6d23471a44349168682b18fa72d82020-11-24T20:57:20ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-06-012014145,115Bifurcation of traveling wave solutions of a generalized K(n,n) equationGuanhua Zhao0Linping Peng1 Tianjin Univ. of Technology and Education, Tianjin, China Handan College, Handan, Hebei, China In this article, a generalized K(n,n) equation is studied by the qualitative theory of bifurcations and the method of dynamical systems. The result shows the existence of the different kinds of traveling solutions of the generalized K(n,n) equation, including solitary waves, kink waves, periodic wave and compacton solutions, which depend on different parametric ranges. Moreover, various sufficient conditions to guarantee the existence of the above traveling solutions are provided under different parameters conditions.http://ejde.math.txstate.edu/Volumes/2014/145/abstr.htmlSolitary waveperiodic wavekink wavecompatonsbifurcation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Guanhua Zhao Linping Peng |
| spellingShingle |
Guanhua Zhao Linping Peng Bifurcation of traveling wave solutions of a generalized K(n,n) equation Electronic Journal of Differential Equations Solitary wave periodic wave kink wave compatons bifurcation |
| author_facet |
Guanhua Zhao Linping Peng |
| author_sort |
Guanhua Zhao |
| title |
Bifurcation of traveling wave solutions of a generalized K(n,n) equation |
| title_short |
Bifurcation of traveling wave solutions of a generalized K(n,n) equation |
| title_full |
Bifurcation of traveling wave solutions of a generalized K(n,n) equation |
| title_fullStr |
Bifurcation of traveling wave solutions of a generalized K(n,n) equation |
| title_full_unstemmed |
Bifurcation of traveling wave solutions of a generalized K(n,n) equation |
| title_sort |
bifurcation of traveling wave solutions of a generalized k(n,n) equation |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2014-06-01 |
| description |
In this article, a generalized K(n,n) equation is studied by the qualitative
theory of bifurcations and the method of dynamical systems.
The result shows the existence of the different kinds of traveling solutions
of the generalized K(n,n) equation, including solitary waves, kink waves,
periodic wave and compacton solutions, which depend on different parametric
ranges. Moreover, various sufficient conditions to guarantee the existence
of the above traveling solutions are provided under different parameters
conditions. |
| topic |
Solitary wave periodic wave kink wave compatons bifurcation |
| url |
http://ejde.math.txstate.edu/Volumes/2014/145/abstr.html |
| work_keys_str_mv |
AT guanhuazhao bifurcationoftravelingwavesolutionsofageneralizedknnequation AT linpingpeng bifurcationoftravelingwavesolutionsofageneralizedknnequation |
| _version_ |
1716787959041097728 |