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Zbl 1219.35232
Gurefe, Yusuf; Misirli, Emine
New variable separation solutions of two-dimensional Burgers system. (English)
[J] Appl. Math. Comput. 217, No. 22, 9189-9197 (2011). ISSN 0096-3003

Summary: With the help of the $(\frac{G'}{G})$-expansion method, we obtain some exact solutions of the Riccati equation. Based on the Riccati equation and its exact solutions, we find some variable separation solutions with two arbitrary functions of the two-dimensional Burgers system. As some special examples, these exact solutions can be reduced to variable separation solutions in kink solution, soliton solution, periodic solution and rational function solution forms.

MSC 2000:: *35Q53 KdV-like equations
35A24
35C08
35B10 Periodic solutions of PDE

Keywords: variable separation solution; two-dimensional Burgers system; $(\frac{G'}{G})$-expansion method; auxiliary equation method

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Zentralblatt MATH Berlin [Germany]