A variety of (3 + 1)‐dimensional Burgers equations derived by using the Burgers recursion operator |
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Authors: | Abdul‐Majid Wazwaz |
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Institution: | Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA |
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Abstract: | A new variety of (3 + 1)‐dimensional Burgers equations is presented. The recursion operator of the Burgers equation is employed to establish these higher‐dimensional integrable models. A generalized dispersion relation and a generalized form for the one kink solutions is developed. The new equations generate distinct solitons structures and distinct dispersion relations as well. Copyright © 2014 John Wiley & Sons, Ltd. |
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Keywords: | (3 + 1)‐dimensional Burgers equation recursion operator multiple kink solutions |
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