On the complete group classification of the one‐dimensional nonlinear Klein–Gordon equation with a delay |
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| Authors: | Feng‐Shan Long S V Meleshko |
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| Institution: | 1. School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima, Thailand;2. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, China |
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| Abstract: | This research gives a complete Lie group classification of the one‐dimensional nonlinear delay Klein–Gordon equation. First, the determining equations are derived and their complete solutions are found. Then the complete group classification and representations of all invariant solutions are obtained. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | Klein– Gordon equation delay partial differential equation Lie group invariant solution |
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