Application of the (G '/G)-expansion method for the Zhiber-Shabat equation and other related equations

作者：Borhanifar A^*; Moghanlu Ali Zamiri

来源：Mathematical and Computer Modelling, 2011, 54(9-10): 2109-2116.

DOI：10.1016/j.mcm.2011.05.020

• (G '/G)-expansion method
• Zhiber-Shabat equation
• Liouville equation
• Dodd-Bullough-Mikhailov (DBM) equation
• Tzitzeica-Dodd-Bullough (TDB) equation
• Traveling wave solutions

In this paper, the exact traveling wave solutions of the Zhiber-Shabat equation and the related equations: Liouville equation, Dodd-Bullough-Mikhailov (DBM) equation, sinh-Gordon equation, and Tzitzeica-Dodd-Bullough (TDB) equation are studied by using the (G'/G)-expansion method. Solitons and periodic solutions for these equations are formally derived.

• 出版日期2011-11