scholarly journals New exact solutions of the sixth-order thin-film equation with complex method

Author(s):  
Guoqiang Dang
2014 ◽  
Vol 26 (1) ◽  
pp. 75-78 ◽  
Author(s):  
Wafaa M. Taha ◽  
M.S.M. Noorani ◽  
I. Hashim

Nonlinearity ◽  
2007 ◽  
Vol 20 (8) ◽  
pp. 1843-1881 ◽  
Author(s):  
J D Evans ◽  
V A Galaktionov ◽  
J R King

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Yinghui He ◽  
Yun-Mei Zhao ◽  
Yao Long

The simplest equation method presents wide applicability to the handling of nonlinear wave equations. In this paper, we focus on the exact solution of a new nonlinear KdV-like wave equation by means of the simplest equation method, the modified simplest equation method and, the extended simplest equation method. The KdV-like wave equation was derived for solitary waves propagating on an interface (liquid-air) with wave motion induced by a harmonic forcing which is more appropriate for the study of thin film mass transfer. Thus finding the exact solutions of this equation is of great importance and interest. By these three methods, many new exact solutions of this equation are obtained.


Nonlinearity ◽  
2007 ◽  
Vol 20 (8) ◽  
pp. 1799-1841 ◽  
Author(s):  
J D Evans ◽  
V A Galaktionov ◽  
J R King

2013 ◽  
Vol 54 (1) ◽  
pp. 013510 ◽  
Author(s):  
Ding-jiang Huang ◽  
Qin-min Yang ◽  
Shuigeng Zhou

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