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A variety of (3 + 1)‐dimensional Burgers equations derived by using the Burgers recursion operator
Authors:Abdul‐Majid Wazwaz
Institution:Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA
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.
Keywords:(3 + 1)‐dimensional Burgers equation  recursion operator  multiple kink solutions
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