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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2009-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/08/abstr.html |
| Summary: | 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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| ISSN: | 1072-6691 |