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| Qualitative Analysis and Periodic Cusp Waves to aClass of Generalized Short Pulse Equations |
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| KeyWord:Generalized short pulse equations Periodic cusp waves Periodic
waves Compactons Bifurcation |
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| Abstract: |
| In this paper, we qualitatively study periodic cusp waves to a class
of generalized short pulse equations, which are of the general form of three
special generalized short pulse equations, from the perspective of dynamical
systems. We show the existence of smooth periodic waves, periodic cusp wave
and compactons, obtain exact expression of periodic cusp wave and illustrate
the limiting process of periodic cusp wave from smooth periodic waves. |
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