Journal
APPLIED MATHEMATICS LETTERS
Volume 63, Issue -, Pages 46-52Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2016.07.019
Keywords
n-dimensional Burgers system; n-dimensional BT; n-dimensional Cole-Hopf transformation; n-dimensional Auto-BT; SHB; Exact solution
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Funding
- Basic Science and the Front Technology Research Foundation of Henan Province of China [092300410179]
- Scientific Research Innovation Ability Cultivation Foundation of Henan University of Science and Technology [011CX011]
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N-dimensional Backlund transformation (BT), Cole-Hopf transformation and AutoBacklund transformation (Auto-BT) of n-dimensional Burgers system are derived by using simplified homogeneous balance (SHB). By the Auto-BT, another solution of the n-dimensional Burgers system can be obtained provided that a particular solution of the Burgers system is given. Since the particular solution of n-dimensional Burgers system can be given easily by the Cole Hopf transformation, then using the Auto-BT repeatedly, more solutions of n-dimensional Burgers system can be obtained successively. (C) 2016 Published by Elsevier Ltd.
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