The Cauchy problem for a short-wave equation
We prove existence and uniqueness of solutions for the Cauchy problem of the simplest nonlinear short-wave equation, $u_{tx}=u-3u^{2}$, with periodic boundary condition.
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| Format: | Article |
| Language: | English |
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Texas State University
2009-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/08/abstr.html |
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Article |
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doaj-f31889a82b04475d808489583bfd79b32020-11-24T23:34:40ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-01-01200908,15The Cauchy problem for a short-wave equationGueorgui SmirnovSilvio Marques A. GamaWe prove existence and uniqueness of solutions for the Cauchy problem of the simplest nonlinear short-wave equation, $u_{tx}=u-3u^{2}$, with periodic boundary condition.http://ejde.math.txstate.edu/Volumes/2009/08/abstr.htmlCauchy problemBenjamin-Bona-Mahony-Perigrine equationshort-waves |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gueorgui Smirnov Silvio Marques A. Gama |
| spellingShingle |
Gueorgui Smirnov Silvio Marques A. Gama The Cauchy problem for a short-wave equation Electronic Journal of Differential Equations Cauchy problem Benjamin-Bona-Mahony-Perigrine equation short-waves |
| author_facet |
Gueorgui Smirnov Silvio Marques A. Gama |
| author_sort |
Gueorgui Smirnov |
| title |
The Cauchy problem for a short-wave equation |
| title_short |
The Cauchy problem for a short-wave equation |
| title_full |
The Cauchy problem for a short-wave equation |
| title_fullStr |
The Cauchy problem for a short-wave equation |
| title_full_unstemmed |
The Cauchy problem for a short-wave equation |
| title_sort |
cauchy problem for a short-wave equation |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2009-01-01 |
| description |
We prove existence and uniqueness of solutions for the Cauchy problem of the simplest nonlinear short-wave equation, $u_{tx}=u-3u^{2}$, with periodic boundary condition. |
| topic |
Cauchy problem Benjamin-Bona-Mahony-Perigrine equation short-waves |
| url |
http://ejde.math.txstate.edu/Volumes/2009/08/abstr.html |
| work_keys_str_mv |
AT gueorguismirnov thecauchyproblemforashortwaveequation AT silviomarquesagama thecauchyproblemforashortwaveequation AT gueorguismirnov cauchyproblemforashortwaveequation AT silviomarquesagama cauchyproblemforashortwaveequation |
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