Application of Simplified Homogeneous Balance Method to Multiple Solutions for (2 + l)-Dimensional Burgers’ Equations

Lingxiao Li (), Jinliang Zhang and Mingliang Wang
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Lingxiao Li: School of Mathematics & Statistics, Henan University of Science & Technology, Luoyang 471000, China
Jinliang Zhang: School of Mathematics & Statistics, Henan University of Science & Technology, Luoyang 471000, China
Mingliang Wang: School of Mathematics & Statistics, Henan University of Science & Technology, Luoyang 471000, China

Mathematics, 2022, vol. 10, issue 18, 1-7

Abstract: In this paper, three forms of (2 + l)-dimensional Burgers’ equations are investigated. More general multiple solutions of these Burgers’ equations are obtained by dependent variable transformation derived using the simplified homogeneous balance method.

Keywords: (2 + l)-dimensional Burgers’ equations; multiple solutions; linearization; homogenization; simplified homogeneous balance method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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