Journal
CHINESE JOURNAL OF PHYSICS
Volume 63, Issue -, Pages 122-129Publisher
ELSEVIER
DOI: 10.1016/j.cjph.2019.11.005
Keywords
(2+1)-dimensional coupled Burgers equations; Generalized unified method; Lie symmetry technique; Double-wave solutions; A non-traveling wave solution
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This paper investigates the (2 + 1)-dimensional coupled Burgers equations (CBEs) which is an important nonlinear physical model. In this respect, by making use of the generalized unified method (GUM), a series of double-wave solutions of the (2 + 1)-dimensional coupled Burgers equations are derived. The Lie symmetry technique (LST) is also utilized for the symmetry reductions of the (2 + 1)-dimensional coupled Burgers equations and extracting a non-traveling wave solution. Through some figures, we discussed the wave structures of the double-wave solutions of the CBEs for different values of parameters in these solutions.
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