Symmetry Reductions and Conservation Laws of the Short Pulse Equation

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Faculty Publications
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article
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2016-01-01
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Author (aut): Fakhar, Kamran
Author (aut): Wang, Gangwei
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Abstract
In this letter we study invariance properties of the nonlinear short pulse equation through Lie symmetry analysis. We show that solutions of the short pulse equation. Furthermore, we obtain two conservation of the equation through the direct method. We show that two resulting nonlocally related systems yield no nonlocal symmetries of the short pulse equation. Some remarks and appropriate conclusions are drawn at the end.
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<p><a href="http://www.sciencedirect.com/science/journal/00304026" title="Go to Optik - International Journal for Light and Electron Optics on ScienceDirect">Fakhar, K, Wang, G. & Kara, A.H. (2016). Symmetry reductions and conservation laws of the short pulse equation</a><em><a href="http://www.sciencedirect.com/science/journal/00304026" title="Go to Optik - International Journal for Light and Electron Optics on ScienceDirect">. Optik - International Journal for Light and Electron Optics, 127(</a></em><a href="http://www.sciencedirect.com/science/journal/00304026" title="Go to Optik - International Journal for Light and Electron Optics on ScienceDirect">21</a><em><a href="http://www.sciencedirect.com/science/journal/00304026" title="Go to Optik - International Journal for Light and Electron Optics on ScienceDirect">)</a></em>, 10201–10207.<a href="http://dx.doi.org/10.1016/j.ijleo.2016.08.013" id="x-x-x-x-x-ddDoi">doi.org/10.1016/j.ijleo.2016.08.013</a></p>

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publication status: This article is embargoed until December 1, 2018.
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Keywords
Keywords
short pulse equation
Lie Symmetry Analysis
Conservation Laws
Subject Topic
Subject Topic
Mathematics
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Fakhar, Kamran, and Gangwei Wang. “Symmetry Reductions and Conservation Laws of the Short Pulse Equation”. Article. Faculty Publications. Handle placeholder.
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Symmetry Reductions and Conservation Laws of the Short Pulse Equation
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