The periodic traveling-wave solutions of the short-pulse equation

The periodic traveling-wave solutions of the short-pulse equation

In this paper, we consider the short-pulse equation (SPE) by using the dynamical system theory. The periodic solutions of the SPE are investigated. The solutions are characterized by two parameters. The periodic waves existent conditions are found, and explicit parametric expressions of all periodic...

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Veröffentlicht in:Applied mathematics and computation 2011-11, Vol.218 (6), p.2542-2548
Hauptverfasser: Xie, Shaolong, Hong, Xiaochun, Gao, Bin
Format: Artikel
Sprache:eng
Schlagworte:
Close orbit
Computation
Dynamical systems
Mathematical analysis
Mathematical models
Open orbit
Periodic loop wave
Short-pulse equation
Solitary loop wave
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Beschreibung
Zusammenfassung:In this paper, we consider the short-pulse equation (SPE) by using the dynamical system theory. The periodic solutions of the SPE are investigated. The solutions are characterized by two parameters. The periodic waves existent conditions are found, and explicit parametric expressions of all periodic solutions are given.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.07.069